Which of the following is the correct complete factorization of x4 - 1? \left(x^{2}-1\right)\left(x^{2}+1\right)

Q: What polynomial should be added to 2x-5 so that the sum is zero?

A: Solution...

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

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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: What is the remainder when x³-2x²-4x-3 is divided by x-2?

A: Remainder theorem states, when a polynomial f(x) is divided by a linear factor x-a, then the…

Q: Find the sum of 2x2 – 8x – 6 and 9x2 – 8. - -

A: Given,  Sum of 2x2 - 8x - 6  and  9x2 - 8.

Q: Perform the long division (3x²-4)/(x+3)

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

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Q: Find  product. (3x - 2)(4x2 + 3x - 5)

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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: what are the possible rational roots for the polynomial 6x3+17x2-31x-12?

A: Given,  Polynomial => 6x3 + 17x2 - 31x - 12 .

Q: 8x +6x2 -9 3 2х-2

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Q: 2x-x -2x +1 3 2x-1

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Q: 7) Express 2x2-x- 3 as the product of two binomials.

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

Q: x3 -2x2+5x-9  by x2 +3

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Q: Show that (x-y) is a factor of (x2-7x2+14x-8) ,ccplete factors od expression

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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: Expand In 12x3 хра

A: We need to use the properties of logarithmic function to expand ln 12x5y We can do this as:

Q: Зах (х+6) x+4

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Q: Use Long Division: 64x3-27/4x-3

A: Given that      (64x3 - 27)/(4x - 3) We divide this by using long division method.

Q: calculate using long division (2x4 + 7x3 - 17x2 - 58x - 24) / (x - 3)

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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: Make up a polynomial that factors into a perfect square.

A: Let the polynomial be: x2-6x+9 We express it in the form of a perfect square as follows:…

Q: Find the least common multiple for 6(x+ 1)'(x-4) and 10(x+1) (x-4).

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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: Every time I divide polynomials using synthetic division, I am using a highly condensed form of the…

A: Given : Divide the polynomial using synthetic division.

Q: if the result of a polynomial division is 2x3 - 4x2 - 5x +  23/ x +2 make at least three definitivve…

A: Given that the result of a polynomial division is 2x3 - 4x2 - 5x +  23/ x +2. Here, Divisor = x +2…

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

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

Q: Write the sum of 5x2 + 2x – 10 and 2x2 + 6 as a - polynomial in standard form.

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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: Find the least common denominator of[(3/x2 - 6x + 9) and (7/x2 - 9)]

A: Given, expressions, 3x2-6x+9  and   7x2-9

Q: 8r +x2 - 8x + 10 dr. 1. x²(4x2 - 4x + 5)

A: The given integral is ∫8x3+x2−8x+10x24x2−4x+5dx.

Q: The quotient of two polynomials can be found with an algorithm(that is, a step-by-step procedure)…

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Q: In 3x-4 4 x(3x-4)

A: solution is given below

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: What is the remainder when (x3 -x +2)  is divided by (x-4)?

A: We need to find the remainder when (x3 -x +2)  is divided by (x-4). So,…

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: 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: Find the least common multiple for 6(x + 1)'(x-4) and 10(x+1) (x-4).

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Q: All polynomial expressions should be written in (5) form, meaning that the terms are placed in (6)…

A: To find- Complete the sentence.  All polynomial expressions should be written in 5…

Q: show that x2-4 is a factor of x4-5x3+2x2+20x-24

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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.