1. Perform dividing rational expressions 10y3 25ху а) 2.3 6x² Зх + 6 x + 2 b) x² – 8x + 12 22 — 5х + 6 - -

Q: How do I complete the square on thsi following polynomial: x2-6x+12-y=0 To end up with:…

A: x2-6x+12-y=0 cannot be expressed as (x-3)2+4-y=0 because (x-3)2+4-y=0 when expanded will give…

Q: 10. Solve for x: x = Vx +7- 5 11. Factor completely: 6x2 – 2z – xz +12x | 12. Rationalize the…

A: Solve the following

Q: Consider 2x° – 3y? = 8 -

A: SolutionStep I :  2x3 - 3y2 = 8Now, 2x3-3y2=8⇒2x3-8 = 3y2ddx2x3-8 = ddx3y26x2 =…

Q: To divide x^3+5x^2-2x+8 by x-5 using synthetic division,the first step is to write

A: According to question we have to calculate x3+5x2-2x+8x-5 By synthetic division

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: When dividing x^3+2x+4 by 3x+2 in Z11[x], the remainder is

A: 1)  The statement is true  Now to see  ho the given polynomial is irreducible or not

Q: Let (x1, y1) = (7, 2) and (x2, y2) = (1, -1). Find √[(x2 - x1)2 + (y2 -y1)2]. Express the answer in…

A:

Q: Use any method to simplify the.complex fraction. 25z°x5 49 2 6 175x z° 21

A:

Q: When dividing x^3+2x+4 by 3x+2 in Z5[x], the remainder is None of the choices 2

A:

Q: हल कीजिए: -12x > 30, जब (i) x एक प्राकृत संख्या है। हल कीजिए: 5x-3 2, जब (i) x एक पूर्णांक

A: i -12x > 30-1212x>3012-x > 52x<-52

Q: -3 5 6 1 2 12 -2 -51x11 -7 X2 x2 9 X3. 4 -8 -10] -1

A: We can solve this using given information

Q: ,2 Evaluate x-6x +3 for x= 3+ i

A:

Q: A student is working on the rational equation + = 7, æ # –1.After multiplying both sides of this…

A:

Q: 9. When the polynomial mx' – 3x² + nx +4 is divided by x - 3, the remainder is 16. When it is…

A:

Q: 13. When fully simplified, the rational expression 15v 60 becomes vー4 vー4 А. -15, v # 4 B. 15, v 4…

A:

Q: When dividing x^3+2x+4 by 3x+2 in Z11[x], the remainder is O 5 4 O 2 None of the choices о

A:

Q: ·1₂ 3. 1³-x²+2-1 dz

A:

Q: 15) Rationalize the denominator of the fraction - 4-V7 3+V5 16) Add. 3 X-2 2- Part C17 Solve :3 +5…

A:

Q: the smallest possibl product of the two numbers x>= 0 and y<= 0, such that 2x-y=120 is:

A: Let x and y be two numbers such that  x≥0,y≤0, 2x-y=120y=2x-120

Q: Stherwise it will not be considered. Multiply each rational expression. Solutions and Answers mast…

A:

Q: 1.X" to qx' +5x, = 5ot x'l6) :: -5 , x6) - 5

A:

Q: 27 comp 28. 8 comp 29. +9° +90 27 = x2-6x 28 = 3x2 - y 3-x2 - 13x + 9 Find mz8. What is the name of…

A: Complementary Angles:- Two angles are complementary if the sum of the measures of both the angles is…

Q: synthetic division (x^3-11x^2+22x+40)divided by (x-5)

A:

Q: What happens to y=fx) when you replace y with -4y? O vertical stretch by a factor of 4 and a…

A: Vertical stretch: The graph of y=dfx is the vertical stretch of the graph of y=fx by a factor d,…

Q: For Exercises 23–28, write the answer as a single term and simplify. It is not necessary to…

A: " Since the question with multiple subparts is asked we will solve the first three subparts for you.…

Q: 9. When -6x - 7x + qx- 12 is divided by 3x - 4, the remainder is 0. Find the val

A:

Q: 28.) (5-x)/²-2x = 0

A:

Q: 9. Find the quotient and the remainder of x³ + 2x² – 1 divided by 3x2 +1 in Z7[x].

A: Note that for Z_7  Any number is equal to the remainder when it is divided by 7.

Q: For what value of a will five of the six real roots of 6x6 + 7x5 _ 43z4 - 153 + 49z2 + ax polynomial…

A: For what value of a will five of the six roots of polynomial P(x) be shared by the polynomial Q(x)

Q: III. Eliminate the AC 8. до Gex + сче-х + Сухе аех Cex ·X

A:

Q: If Æ(x) = 2x + 1, find Æ(a + h). 2a + 2h + 1 a + h + 1 2a + 2h + 2 2a + h + 1

A: Here we will find E(a+h),

Q: 17. Given 2x+4 — 2x+3 = 1, find x.

A:

Q: 10. When dividing x* + 3x? + 2x + 1 by x² + 2x + 3 in Z5[x], the remainder is а) 0 b) 2 c) 3 d) 4 a)…

A:

Q: 1. Write 0.2 as a fraction. Let x = 10x = 10x -X= 9x = So 0.2 is equal to

A:

Q: When p (x)=2x + kx +1 is divided by x +1, the remainder 1s the same as when q (x)=3x + kx +2 is…

A:

Q: 47. a) If (x – 2) is a factor of 2x – 3x + k, find k. - b) When ax – 4x² + 5x – 3 is divided by (x +…

A:

Q: 23. Simplify the complex fraction કાકાસ x²+2x+3 '' + ; x+3 1 1 -+ x+5

A: Topic = Algebra

Q: If z1 = -4 + j5, z2 = -3 - j2, and z3 = 2 - j3 , what is the simplified form of z – z + 2 ? %3D

A:

Q: When px3 3 32x 2 − 10x + r is divided by (x x 2), the remainder is exactly the same as when it is…

A:

Q: 5. Show that: a. x* + 9x³ + 4x + 7 is O(x*) b. x? + 4x + 17 is O(x³)

A:

Q: What are the possible rational roots of the equation x + 6x2 11x + 6 = 0 A. -6, -3, -2, -1 C.+6, +3,…

A: Rational roots of polynomial  Let us consider a polynomial of the form…

Q: (b) Express x +1 4 as a single fraction in its simplest form. x- 2 3.

A:

Q: If x = -1 is a root of the polynomial 0 = æ³ + 2x2 – 5z – 6. what are the other roots? Ox =-3, x = 2…

A: see next step

Q: What are all the possible rational roots of 2x^3 + 3x^2 - 10x + 4 = 0?

A: Given: - The equation is, 2x3+3x2-10x+4=0 To find: - The rational roots of the given equation.

Q: When dividing x^3+2x+4 by 3x+2 in Z5[x], the remainder is * O 5 O 4 O 2 O None of the choices

A: Just use long division and keep in mind that we are doing operations modulo 5.

Q: B. Simplify by rationalizing the denominators. 6. = 54 V2 23 1 1. . e %3D 5-12 2. 唱源 4 7. Jo+2 פנר…

A:

Q: Rationalize and multiply the radicals. 24x V27 2) 1) V 8y 3) |2y 4) 16-3 V5 +2 5) 2-13 6) 7) Ji(8+…

A:

Q: 6. Divide 6x + x² – 12x + 5 by 2x – 1. Is the divisor a f of the dividend?

A: In a division, divisor is said to be a factor of the dividend if dividend can be divided completely…

Q: 1. Show that x + 4 is a factor of x* – x3 + 3x² – 3x + 356. -

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.