For what value of m will the polynomial f (x)=x3+2x2+mx+5 have the same remainder when it is divided by x+1 and x−2?

Q: Divide the polynomial f(x) = x³ + 4x2 + 5x + 2 by (x + 2) (x + 4x2 + 5x + 2) ÷(x + 2)

A: To divide the polynomial f(x) = x3 + 4x2 + 5x + 2 by x + 2

Q: What is the remainder when f(x) = x' - 22x 16x - 161 is divided by (x - 40)?

A:

Q: If f is a polynomial function, and x − 6 is a factor of f ( x ), what is the value of f ( 6 ) ?

A: Answer is 0 Explanation is given below..

Q: 9. When the polynomial x+2x +bx+5 is divided by x+4 the remainder is 33, find the value of b.

A: We are solving the first question anfd for the next question post the question again and alsomention…

Q: What polynomial must be added to-7x3+8x-3 so that the sum is x2-x-1?

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Q: Divide the polynomial f(x) = x + 4x² + 5x + 2 by (x + 2) (x³ + 4x? + 5x + 2) ÷(x + 2)

A: Given the polynomialf(x)=x3+4x2+5x+2

Q: Given the function f(x) = 2 + 6x, then what is f(x – 2) simplified as a polynomial?

A: The given function is f(x)=2+6x

Q: If f(x) = 4x⁵ + 3,then what is the remainder when f(x) is divided by x - 2 ?

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Q: If a polynomial f(x) when divided by (x – a) gives a remainder r1, and when divided by ( – b) gives…

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Q: What is the remainder when f(x)=x3−22x2−16x−161f(x)=x3−22x2−16x−161 is divided by (x−33)(x−33)?

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Q: Given the function f(x) = -5x2 + 6, then what is f(x – 1) as a simplified polynomial?

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Q: Express as a polynomial. (t 2 + 2t - 5)(3t 2 - t + 2)

A: Given: t2+2t-53t2-t+2 For the polynomial, we solve the parenthesis,…

Q: Express the rational function as a sum or difference of two simpler rational expressions. 3x4 x2 −…

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Q: Express as a polynomial.

A: we have to express the equation (4x-5)(2x2+3x-7) in polynomial.

Q: Marcus states that the polynomial expression 3x3 – 4x2y + y3 + 2 is in standard form. Ariel states…

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Q: ) pesos, Aira has A(x) pesos and Jude has D(x)/A(x) pesos, where D(x) = x3 - 7x2 +14x - 8 and A(x) =…

A: Introduction: A polynomial function is one that involves solely non-negative whole number powers or…

Q: Find the value of the polynomial 3x3-4x2+7x-5 when x = 3

A:

Q: What is the remainder when f(x) = 2x20 - 8x10 + x - 2 is divided by x - 1?

A: Given : The polynomial is  2x20 - 8x10 + x - 2 and dividend is x - 1.

Q: For the polynomial, -1 is a zero of multiplicity two. f(x)= x^4 + 6x^3 + 22x^2 + 30x + 13. Express…

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Q: What is the remainder when f(x) =x3 - 2x2 +4x -21 is divided by x - 3? Is x - 3 a factor of f(x)?

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Q: find the quotient and remainder f (x)=x4+x2+6x-10 is divided by x+2

A: Given function is Divisor is

Q: Express as a polynomial. (r 2 + 8r - 2-)(r 2 + 3r - 1)

A: Given expression:                         (r2+8r-2)(r2+3r-1)

Q: If f(x) = 2x6 – x - 5, then what is the remainder when f (x) is divided by x - 2?

A: The given function is: f(x)=2x6-x-5

Q: When a polynomial x4+x3-10x2-1 is divided by another polynomial, the quotient is x3-3x2+2x-8 and the…

A: See the details solution below

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

A:

Q: The polynomial R(x) is the remainder upon dividing x2007 by x-5x +6. If R(0) can be expressed as…

A: Given: R(x) be a polynomial which is a remainder and  R(0)=ab(ac-bc)

Q: snip

A: fx=x3-4x2-5

Q: If the polynomial ax + bx– 17x-9 is divided x +1, the remainder is -22. If it is divided by x-2, the…

A:

Q: snip

A: Our Aim is to tell that what will be the remainder when f(x)=2x20-8x10+x-2is divided by x-1.

Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans…

A:

Q: 5) If the leading term of a polynomial is -2x18, what do you know about the end behavior? As x → 0…

A: We will find the end behavior of the polynomial when Leading term is given.

Q: What is the coefficient of x^7 in the polynomial (1+x+2x^2)^12

A:

Q: Given : When a polynomial x3 + x2 + 7x − 7 is divided by another polynomial, the quotient is x2 +3x…

A: We know that: dividend=divisor×quotient+remainder. Here given that: Dividend=x3+x2+7x-7…

Q: The area of the photo frame can be expressed as the polynomial 24y2 - 31y- 15. Which equation could…

A: The area of the phote frame is 24y2-31y-15

Q: For the following polynomial P(x) = ax4 + bx3 + cx2 + 3x − 8 , it has a constant finite difference…

A: Constant finite difference = Degree!×Leading Coefficient-48=4!×a24a=-48a=-2

Q: What is the remainder when f(x)=x^3−22x^2−16x−161f(x)=x3−22x2−16x−161 is divided by (x−37)?

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Q: When a polynomial, P(x), is divided by 2x - 1, the quotient is x2 - 8x + 3 and the remainder is -12…

A:

Q: Determine the values of m and n for f(x)=mx3+20x2+nx-35 given that (x+1) gives a remainder of zero,…

A: Given that f(x)=mx3+20x2+nx-35 given that (x+1) gives a remainder of zero, and when divided by (x-2)…

Q: What can be determined by looking at the factored form of the polynomial…

A: We can use the concept of quadrilateral In order to sove the given problem.

Q: Find the quotient and the remainder when  2x^4+3x^3+x+1 is divided by 3x^2+1 in Z5[x].

A: We have to find the quotient and remainder when 2x4+3x3+x+1 is divided by 3x2+1 in ℤ5x

Q: If f (x) = by a + 1? 5x° + 2x + 2, then what is the remainder when f(x) is divided %3D

A: Will use remainder theorem to find the remainder

Q: The polynomial 6x^3 + mx^2 + nx - 5 has a factor of x + 1. When divided by x - 1, the remainder is…

A:

Q: What is the remainder when f(x) = x3 – 13x2 + 40x + 18 is divided by x – 7? Show your work.

A:

Q: What is the remainder when f(x)=x3−22x2−16x−161 is divided by (x−37)

A:

Q: What is the end behaviour for the polynomial function f(x)=(4x+2)(x-3)(x+10)

A: Given: f(x)=(4x+2)(x-3)(x+10)

Q: Evaluate the polynomial for x= 3 f(x) = 4x3 -10x +23

A: For evaluating any polynomial f(x) = ax3+bx+c. at x=x0 . replace the value of x with x0 Therefore at…

Q: what is the remainder when g(x)=x^{3}-3x^{2}+4x-12 is divided by (x-1)/

A: