In Exercises 16-33, factor completely, or state that the polynomial is prime. 16. 14x3 – 15x² 17. 81y? – 25 18. x3 + 3x? – 25x – 75 19. 25x2 30x + 9 - 20. x2 + 10x + 25 – 9y? 21. x* + 1 22. y? – 16y – 36 23. 14x2 + 41x + 15 24. 5x3 – 5 25. 12x? - Зу? 26. 12x? 34x + 10 27. Зх4 — 3 28. х8 — у 29. 12x²y + 8x³y? - 36x?y 30. х6 12x – 28 31. x* - 2x? – 24 32. 12x?y – 27xy + 6y 33. у - Зуз + 2y? - бу

Q: Number 36 I'm not sure how to do the trial and error method

A: Factor out 3.

Q: Choose the correct conclusion based on the following synthetic division: -5)2 - 10 3 - 38 -15 35 15…

A: In synthetic division, 1. The elements of the top row represent the coefficients of the dividend. 2.…

Q: For what value of a will five of the six real roots of 6xº + 7x3 – 43.r – 153 + 4922 + ax polynomial…

A: suppose

Q: How do I answer number 34 I'm not sure how to do the trial and error method.

A: Given:

Q: In Exercises 69-78, factor each polynomial. 69. ab - с — ас + b 70. ab - Зс — ас + 3b 71. х - 5 +…

A: Hey, since there are multiple questions posted, we will answer first three question. If you want any…

Q: 5. Use the Factor-Theorem and show that x-c is a factor of P(x) for the given value of c. P(x)=x°…

A: By factor theorem  (x-c) is factor of given polynomial if and only if. f(c) =0

Q: Factor the Polynomial O prime O ((2/3)c + (1/4)h^2)((2/3)c - (1/4)h^2) O ((2/3)c + (1/4)h)((2/3)c -…

A:

Q: Compare and contrast the following polynomials: x2 – 16 x* – 16 - Factor 2 – 16 Make a conjecture…

A: We have to compare and contrast the polynomials x2-16 x4-16

Q: Toss two fair dice, and let A, B e {1,2,3,4, 5, 6} be the outcomes, and consider the quadratic…

A: Given that, two fair dice are tossed. Let           A,B∈1,2,3,4,5,6 be the outcomes i.e.,…

Q: @ Using Zerös p' (2 factor theorem, ɖetermine the a fGc) = 8x²-32xx²+4 of

A:

Q: 5. Find Q where Q is from the QR factorization of -5 -1 9 3 2 -9 -6- 3

A:

Q: 1. Choose the correct answer. Which pair of binomials matches the given polynomial? 25a? + 70ab +…

A:

Q: In Exercises 126–129, determine whether each statement is true or false. If the statement is false,…

A: 126). Given statement is "once a CGF is factored from 6y6-19y5+10y4, the remaining trinomial factor…

Q: 3. Write down the polynomial having coordinates in B and the one with the same coordinates in B'.

A:

Q: For Exercises 25-26, use the factor theorem to determine if the given binomial is a factor of the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 6.5 The following data is given: -2 -1 1 2 y 1.5 3.2 4.5 3.4 6.10 Determine the coefficients of the…

A: We have to find the coefficients of the polynomial from the given data.

Q: 8. The polynomial 3x³ + mx² - nx – 10 has a factor of x - 1. When divided by x + 2, the remainder is…

A: P(x) = 3x3 + mx2 - nx - 10                (i) It is given that (x - 1) is a factor of the above…

Q: 5. Given the polynomial P(x) = 3x + kx? + mx + 12 has a known factor of (x-3). When P(x) is divided…

A:

Q: 11. Rewrite the polynomial in Standard Form: 12-3x- 10x -x2 O b) 3x³ - x² +10x + 12 O a). 3x3-…

A:

Q: In Exercises 35-44, factor the greatest common binomial factor from each polynomial. 35. 4(х + 3) +…

A: Since you have posted multiple questions we will solve the first three for you please resubmit the…

Q: (2.1) Factor completely, if a polynomial cannot be factored, say so: a) 6 m*n – 9 m³ n²– 3 m² n³ b)…

A: Topic = Algebra

Q: PAPER 1 N2010 5 Solve the equation 3x³ +7x²-22x-8 = 0. 5. FACTORS OF POLYNOMIALS

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Q: 5.26 st factor out th 2x + 2x-24 ect the correc A. 2x +2x

A: In mathematics, the greatest common divisor (GCD) of two or more integers, which are not all zero,…

Q: Which statement is true about the polynomial x + bx - O If b = 8 then (x 6) is a factor %3D If b 4…

A: Solve the following

Q: Which of the following is not a factor of x^3 + 5x^2 - x - 5? * 5 puntos x + 1 x - 5 x + 5 x - 1…

A: Given the polynomial

Q: 4. Which integer values of a should be chosen to test for binomial factors of the form x- a of the…

A:

Q: In Exercises 35-36, divide the polynomial by the топоmial. 35. (15.x3 – 30x2 + 10x – 2) ÷ (5.x2) 36.…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 1. Is (x – 3) a factor of the polynomial p(x) = x' – 11x + 6? Why or why not? 2. What is the…

A:

Q: 11. Factor the polynomial completely. 2x (3x+6) (x + 2) 6x (x + 2) (x+3) O6x (2x+3)(x+2) 3x (x + 3)…

A:

Q: 1. Compute the resultant of x – 3x* – 2r + 3x + 7x + 6 and x* +² + 1. Do polynomials have a common…

A: Given: To calculate the resultant of .

Q: Which polynomial has (x + 1) as a factor? а. т3 + 2а? —19х—20 b. z3—21х + 20 с. 23 + 8х + 11х—20 d.…

A: We have to check which equation gives us 0 when we put as x=-1

Q: In Exercises 17-28, find the least common denominator of the rational expressions. 17. 11 14 and…

A: 17). To find the least common denominator of the rational expression. Rational expression are 1125x2…

Q: In Exercises 10-11, add the polynomials. 10. (-8r³ + 5x² – 7x + 4) + (9x³ – 11x² + 6x – 13) 11.…

A: since you have asked multiple questions in single request so we will be answering only first…

Q: 12. a). Use polynomial long division to divide P (x) = 2x5 + 3x – 2x3 – 7z +4 by (-x² +1), Write…

A: To divide the polynomial by given terms

Q: In Exercises 1-22, factor the greatest common factor from each polynomial. 1. 10x? + 4x 2. 12x + 9x…

A: To factorize the polynomials: Solution: 1)10x2+4x 10x2+4x On simplifying further we get:…

Q: 1. Use the Factor Theorem to determine whether the given binomial of the form x-c is a factor of the…

A: We have to determine given factor is a factor of given polynomial.

Q: 11. Expand and simplify. (b + 6)(4 - b)(26 - 8) -263 - 192 c -263 + 2862 - 128b + 192 b -2b3 + 46? +…

A: Given: 1) (b+6)(4-b)(2b-8) 2) x2+13x-48 3) 6x2+36x+54 4) x2-8x+16-9y2

Q: 32. If k is a constant, what is the value of k such that the polynomial k2x3 - 6kx +9 is divisible…

A: If the polynomial is divisible by -1 then the remainder will be 0.

Q: In Exercises 93-97, use factoring to solve each polynomial еquation. 93. х2 + бх + 5 %3D 0 94. 3x2…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 15) What are the factors of x2 - 81y2? A) (x+ 81y)(x - y) B) (x-9y)(x - 9y) C) (x+9y)(x - 9y) D)…

A:

Q: Given the solution below, what is the polynomial in factored form? 3 T = -, x = -5 %3D 4 Factored…

A: Solution: Polynomial in factor form is a product of its factor.

Q: In Exercises 49-64, factor any perfect square trinomials, or state that the polynomial is prime. 49.…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. Determine for which polynomial(s) (x + 2) is a factor. Explain your answer. Р(x) — х4- Зх3 - 16х…

A: we have to show if (x+2) is a factor of the polynomials P(x)=x4-3x3-16x-12 and Q(x)=x3-3x2-16x-12 or…

Q: 3. Which polynomial expresses the product of 4y(3y² +7y – 11)? O A. 12y³ + 7y – 11 о в. 12у3 + 28у —…

A:

Q: 54 Use the Factor Theorem to show that x-c is a fact (x) for the given value(s) of c. P(x) = x'- 3x²…

A: From the  factor theorem we get (x – c) can be considered as a factor of the polynomial P(x) of…

Q: 9. Perform the indicated operations. (4x³ + 12x+6) - (5x³+4x² − 3) 4x² + 12x +9 O-x³ + 16x² +9…

A:

Q: In Exercises 12–13, subtract the polynomials. 12. (7x – 6x2 + 5x – 11) – (-8x³ + 4x2 – 6x – 3) 13.…

A: We have to subtract the one polynomial from other .

Q: 9. State the leading coefficient of the polynomial. (Hint: Be sure it's in standard form first.) *…

A: 9. The polynomial is given by 36x3-8x4-32x5+9x2 To determine : The leading coefficient of the…

Q: 43. Which polynomial represents the product of 2x – 3 an- x² + 6x – 2? ® 2x + 6x – 6 - © 21 – 18x –-…

A: Given query is to find the product if the expression.

Q: 22. Factor the polynomial. 216a – 64 (62 – 4) (36z2 – 24m – 16) (62 – 4) (36? + 24n + 16) (6x + 4)…

A: Given the polynomial  216 x3 - 64  We need to factorised it. As we know the formula  a3 - b3 = (a -…