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 remainder of -65 when divided by (x+1)

Q: Divide 3x3 - 5x2 + 10x - 3 by 3x + 1

A: The given polynomial 3x3 - 5x2 + 10x - 3 divided by the polynomial 3x + 1.

Q: Express as a polynomial. (3x3 + 4x2 - 7x - 1) + (9x3 - 4x2 - 6x)

A: Given: 3x3+4x2-7x-1+9x3-4x2-6x We have to express the given expression as a polynomial.

Q: Use synthetic division to divide 2x3 - 7x2 + 5 by x - 3.

A: 2x3-7x2+5  by  x-3

Q: 8) Express 2x2 - 3x - 5 as the product of two binomial factors.

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Q: What is the remainder when 2x– 3 +x- 1 is divided by x - 3?

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Q: 1. Divide and simplify: (2x^2-x-6)/(x^2+ 4x + 3) divided by (x^2-7x+ 10)/(x^2-1).

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Q: Write an equation for the polynomial graphed bel 5+ 4+ 3+ 2+ 1- -5 4 -3 -2 2 3 4 5 -2+ -3 - -4+ -5+…

A: The polynomial has zeros at x= -4,-1,1, and 3, as the curve meet x-axis at x=-4,-1,1,3 Therefore,…

Q: Determine if the binomial is a factor of the polynomial. Divide -x3 + 4x2 - x - 3 by x + 2.

A: Explanation of the solution is given below...

Q: Divide 2x4 + 3x3 - 7x - 10 by x2 - 2x.

A: Given 2x4+3x3-7x-10x2-2x

Q: 24 = x2 - 2x, 27 = 3x + 108, find Z4

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Q: Written as a simplified polynomial in standard form, what is the result when (2x + 4)² is subtracted…

A: Explanation of the solution is given below...

Q: 8x +6x2 -9 3 2х-2

A:

Q: What is the result when 3x+ 2x-15x2 + 10 is divided by x - 1? If | - there is a remainder, express…

A: Given that: 3x4+2x3-15x2+10 is divided by x-1

Q: Use long division to divide (4x^2 – 23x + 3 ) / (2x-5)

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Q: What is the remainder when 4x2 - 6x +1 is divided by (2x- 1)

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Q: 3 y=(1+x*) * x4 - x

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Q: Rationalize: 4x By 2 12y 3y 2x

A: Given query is to simplify the expression.

Q: The number of polynomials having zeroes as -2 and 5 is

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Q: Three possible products whose factors multiply to  − 2 are

A: Consider x, y, and z as the three factors of the product -2. The possible values for the three…

Q: Express the area of the polygon as a polynomial. 41. Rectangle 42. Right triangle 6x - 1 4x² - 1…

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Q: Find the least common multiple of the denominators of 1/ (x2 - 1)  and 3/ (x2 + 4x + 3)

A: Given: 1x2-1 and 3x2+4x+3

Q: Express as a polynomial.

A: We know the identity that, a-ba+b=a2-b2                  ⋯⋯1a-b2=a2+b2-2ab       ⋯⋯2 We have the…

Q: Зах (х+6) x+4

A:

Q: Divide 6x4 + 5x3 + 3x - 5 by 3x2 - 2x.

A: Solution -    3x2-2x ) 6x4+5x3+3x-5 ( 2x2+3x+2                  6x4-4x3                 ________…

Q: Find the polynomial that interpolates the points (-2,4), (-1,0), (2,-1), (2.5,0), (3,1), (4, 2). Use…

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Q: Use synthetic đivision to divide. 3x-31x-15 x+3

A: We have the given expression as   3x3-31x-15x+3   we have to do synthetic division

Q: Express as a polynomial.

A: Given expression is  3x+2x-55x+4   It is known that a+bc+d=ac+d+bc+d=ac+ad+bc+bd

Q: 4. Use long method of division Divide 9x3-21x?y + 16xy? – 4y3 by 3x - 2y

A: The dividend is 9x3-21x2y+16xy2-4y3. The divisor is 3x-2y.

Q: What is the remainder of the division (x100 - x99 - x + 1) / (x2 - 3x + 2)

A:

Q: Express as a polynomial. (7x - 4)(x3 - x2 + 6)

A: Given 7x-4x3-x2+6

Q: Use long division to divide. (5x - 12x? - - 4x + 3) ÷ (5x + 3)

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Q: Factorize X - 1 Over

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Q: Express 4x2 - 25 as the product of two binomial factors.

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Q: ithout actual division ,find th remainder obtained on dividing (3x2+5x-9) by (3x+2)

A: Given, 3x2 +5x -93x+2 We have to find the remainder without actual division

Q: 2. Divide the polynomial using long division: 2x -x2 -15x + 18 divided by 2x -3

A: To divide the polynomial using long division

Q: Term Зху 3xy 5xy²z³ 72z3 6. xy³z°

A: Coefficient = 3 Literal coefficient of x  :-

Q: Express as a polynomial. (5x + 7y)(3x - 2y)

A: Given that, the polynomial   (5x + 7y)(3x - 2y)   We need to  simplify the given polynomial.

Q: Express as a polynomial. (3x - 4)(2x + 9)

A: 3x-42x+9

Q: how to divide polynomial by a smaller polynomialex. 3x^4+2x^3-10x+5 / x^2+2x-1

A: Evaluating the polynomial division:

Q: Multiply: (3x – 2)(4x² – 1x + 3) - -

A:

Q: Find the quotient and the remainder when x4 - 3x3 + 2x - 5 is divided by x2 - x + 1

A: To divide x4-3x3+2x-5 by x2-x+1, use the long division method.…

Q: 1 Divide 5x -3 by 3x + 1

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Q: If the result of a polynomial division is 2x3 -  4x2 – 5x + 23/x+2,  make at least four definitive…

A: Given: The given polynomial equation is 2x3-4x2-5x+23x+2

Q: Find  product.  (4x + 5)(4x - 5)

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Q: Express as a polynomial. (2x + 5)(3x _ 7)

A: Given: 2x+53x-7

Q: Find a polynomial that fits the points (−2, 3), (−1, 5), (0, 1), (1, 4), and (2, 10).

A: To find each term of the polynomial, use the Lagrange interpolation formula. Here, x1=-2, y1=3,…

Q: On a blank sheet of paper (lined or not), write any two different positive integers less than 10. In…

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Q: Use synthetic division to find the quotient and remainder when -x' + 11lx - 14 is divided by x- 2.…

A: We have to perform the synthetic division to find quotient and remainder.

Q: derive (3x^2+2x)^6

A: Chain rule of differentiation: Consider a function f(x), which is a composite function given by…

Q: Divide 2x? - 4x³ + 5 by x - 2. O -4x2 - 6x - 12 + (-19/x-2) O -4x² - 6x - 12 O -4x2 - 6x - 12 +…

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Polynomials

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