Find the quotient and the remainder when the first polynomial is divided by the second. (a). x3 + 2x2 - 3x+1 , x +2 (b) x3 - 3x2 + 5x - 4 , x-5

Q: Determine values of a and b for 3x^4 - 12x^3 +ax^2 + 34x + b when (x-4) is a factor and there is a…

A: If x-a is a factor of f(x) , then f(a)=0 .

Q: I’m having a hard time understanding number 5 in the picture.

A: From problem 4,

Q: Find the quotient using synthetic division. 39. (3x - 20x +26x? – 10) ÷(x– 5) 40. (3x* +10x -15x?…

A: topic - synthetic division

Q: (a) Use synthetic division to find the quotient and remainder when x* - 9x² + 3x + 6 is divided by x…

A: We need to find out the quotient  and remainder .

Q: Make up two polynomials, not of the same degree, with thefollowing characteristics: crosses the…

A: Here it is given that Polynomial  crosses the x-axis at - 2  touchesthe x-axis at 1, and is above…

Q: 2. Determine the quotient and remainder. (3x* – 5x' +x² -x-1) + (x² – 2x)

A: Given: Using long division,

Q: 12. When the polynomial 2a3 – 11x - 5 is divided by æ – 5, the quotient is of the form ax? +bx +c.…

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Q: (a) Use synthetic division to find the quotient and remainder when x4 - 4x2 + 2x + 5 is divided by x…

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Q: 2x4 + 5x3 – 2x – 8 is divided by x + 3

A: In the given problem, Dividend, D=2x4+5x3-2x-8Divisor, d=x+3 Equate the divisor to zero, x+3=0⇒x=-3…

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

A: use the relation between dividend and divisor for finding the polynomial.

Q: What is the degree and lead coefficient of the following polynomial? f(z) =−+52 = −x + 5x² − 6x³ +…

A: We have fx=-x+5x2-6x3+10 This can be written as: fx=-6x3+5x2-x+10 The degree is the highest power…

Q: 12) Find a polynomial for the sum of the shaded areas of the figure. A) 4x2 - 8x + 4 B) 4x2 - 8x C)…

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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: When P(x) = 2x - 4x – 6 is divided by D(x) = x + 2 by using synthetic division, the missing number…

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Q: 1. Use long division to find each quotient. Divide the first polynomial by the second. 6x + 11x2-…

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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: A. Determine the factors of the given polynomial. 1. х3 + 2х2 -5х-6 2. х3 + x2- х-1 3. x3- x2- 10x-8

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Q: What is the x-intercept of the fraction 9-x over x-5

A: To find the x- intercept put y=0

Q: What does it mean to have a remainder of 0? This pertains to Division with Polynomials.

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Q: 9. Divide the polynomial 2r – 5x² – 4x + 3 by r +1 using synthetic division. What is the quotient?

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

A: Polynomial (dividend) x4+x3-10x2-1 Remainder is 31 Polynomial (quotient) is x3 -3x2 +2x -8 To find…

Q: 7. What is the constant term of the polynomial expression: x* – 2x + x² – 5x + 6? А. 1 8. Express:…

A: Let's find.

Q: (a) Use synthetic division to find the quotient and remainder when x4 - 4x2 + 2x+ 6 is divided by x…

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Q: 10. Use synthetic division to divide. a. (4x + x2 – 11x + 6) + (x + 2) b. (24 + 5x + 22x – 27x2) +…

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Q: 5. Use synthetic division Divide 6y5 – 2y³ + 4y? by y - 2

A: Given that divide 6y5-2y3+4y2 by y-2. The objective is to divide the given functions using the…

Q: a) Use synthetic division to find the quotient and remainder when x4  4x2  2x  5 isdivided by x …

A: To find the quotient and remainder when a polynomial is divided by another polynomial using…

Q: (a) Use synthetic division to find the quotient and remainder when x- 4x2 + 2x + 10 is divided by x…

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Q: #9. USE SYNTHETIC DIVISION TO FIND THE QUOTIENT AND REMAINDER а. x – 8x – 5; x + 3 - 3x + 1; - 8 -…

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Q: 2. Use synthetic division to divide the first polynomial by the second. а. х? +x-33B х-1 b. 4x -Зx2…

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

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Q: 3. What is the kvalue for the polynomial x - 7x + 17x – 15 if a factor is x – 3? A. k= -3 B. k= 3 C.…

A: We can use factorisation in order to solve the given problem.

Q: Which polynomial would have the following end behavior? x+ -00, f(x) - -00 x+ 0o, f(x) → -00 A y =…

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Q: Compute the remainder if we divide 2x³ + x² - 18x + 7 by x -2. A -8 в) -9 7 D 6

A: Compute the remainder

Q: If we divide the polynomial P by the factor x - c and we obtain the equation P(x) = (x – c)Q(x) +…

A: we know that if we divide the polynomial px by the factor x-c and we obtain the equation…

Q: Use synthetic division:(2x^3 - 5x - 7) ÷ (x - 2) O 2x3 - 4x2 +3x - 13 2x3 + 4x2 +3x - 1 O 2x2 - 4x +…

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Q: 4. Use what you have learned about the Remainder Theorem to show that X +1 is a factor of 19x42 +…

A: We will use the remainder theorem that states that the remainder is zero when we decide the function…

Q: 4. What is the dividend if the divisor is x- 3, the quotient is -2x* + 4x - 6x + 3, and the…

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Q: What is the result when 2x- 13x2 - 5x - 14 is divided by x- 7? If r(x) there is a remainder, express…

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Q: 4 Use synthetic division to find the quotient and remainder when x + 2x³ - 7x² + 5x + 12 is divided…

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Q: By what polynomial must x3-4 x2y+5xy2-2y3 be divided to obtain a quotient of x-y?

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Q: 2. Use long division to determine if (x- 8) Is a factor of P(x) = x -7x- 11. 3. What is the quotient…

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Q: Divide the polynomial -5x^2-2+3x+2x^4 +4x^3 by 2x-3+x^2, and check the result 2) Divide the…

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Q: 15) Find the remainder of the polynomial 5x4 – 3x3 + 9x – 1 when divided by x + 3

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Q: 6.When a polynomial x4+x3-10x2-1 is divided by another polynomial, the quotient is x3-3x2+2x-8 and…

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Q: 23 2. If the result of a polynomial division is 2x3 – 4x2 – 5x + x + 2 make at least three…

A: The result of the polynomial division is, 2x3-4x2-5x+23x+2 Let, f(x)=2x3-4x2-5x+23x+2…

Q: 3 What is the end behavior of this polynomial function f(x) = – 4x* + 9x' – 5x +x – 7? a. Falls to…

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Q: Is f(x) = x^2 + 1 a standard form or a vertex form or both? (I'm confused because it has 2 terms,…

A: Yes, fx=x2+1 is a standard form and a vertex form both. The standard form is given by fx=ax2+bx+c…

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

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Q: (a) Use synthetic division to find the quotient and remainder when x* - 4x2 + 2x + 5 is divided by x…

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