Factor the expression completely. (This type of expression arises in calculus when using the "Product Rule.") (x² + 4)-1/5 – x2(x² + 4)-6/5

Q: f the polynomials ax + 4x2 + 3x-4 and x-4x+ a leave the same remainder when divided by (x-3), find…

A: Given  ax3+4x2+3x-4 and x3-4x+a when divided by x-3, leaves the same remainder.

Q: 3x° + x-10 37x+38 a) Show that 3x-12 + x2 + 4x+4 (x+2)

A: To show that, 3x3+x-10x2+4x+4=3x-12+37x+38x+22

Q: Factor the polynomial comp 10 x2 +2x-120 Ox-12)(x+ 10) DA 0x+12)(x - 10)

A:

Q: The quadratic expression (x+2)(x−8) is written in factored form.   Write the expression in standard…

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Q: The polynomial Po) = x + 2x - 10x+ dis divided by x-1.If the remainder is 6, the value of dis

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Q: The polynomial a - 2x-5x +6 is divided by a-1. 5x + 6 is divided by x 1. What is the quotient? O z-…

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Q: Answer the questions about the following polynomial. 3 - 3x2 - 8x + 4x

A: Given : 3-3x2-8x4+4x

Q: Factor completely over the real numbers. 21. f(x)=5x' +19x² +16x–4

A:

Q: Factor the expression completely. Begin by factoring out the lowest power of each common factor.…

A: To factor the expression: 3x-12x2+154-x32x2+114 Solution: We will factor the given expression by…

Q: Factor the expression completely. (The type of expression arises in calculus in using the "product…

A: Given 3x24x-122+x3(2)(4x-12)(4)

Q: (2x − 1) is a factor of the polynomial 6x6 + x5 − 92x4 + 45x3 + 184x2 + 4x − 48.Determine whether…

A: The factors of a polynomial decompose the polynomial into two or more polynomials, so the product of…

Q: 2x3+2x2-15x+4 divided by x-2 find the quotient using long division.

A: First get rid of 2x^3.

Q: Factor the expression completely. (This type of expression arises in calculus when using the…

A: This problem can be solved by taking lcm

Q: The second polynomial is a factor of the first. Factor the first polynomial completely.…

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Q: Factor the expression completely. (This type of expression arises in calculus when using the…

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Q: 3 10x-17-7x+ 2 is (x-2) a factor. Find the other factors.

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Q: Factor the expression completely. Show that x2 + x + 1 is prime.

A: x2+x+1

Q: x² + 2x - 7 1) has how many terms? 2) what degree a polynomial is it?

A:

Q: Factor completely over the real numbers. 23. f(x)=x* +7x² – 3x² – 23x – 14

A: Roots can be found using synthetic division or standard formulas. factor's of polynomial can be…

Q: 2x-3/4+8x1/4. Factor and simplify the algebraic expression

A: We first find the GCF of the terms. 2x^(-3/4) is GCF

Q: Factor and simplify : (x2 + 1)1/2 - 10(x2 + 1)-1/2

A: x2+112-10x2+1-12

Q: 3. Given the polynomial expression and one of its zeros, find the remaining zeros and factor…

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Q: Factor the polynomial. x^3+9^2+6x+54 = (Factor completely)

A: Solve the following

Q: True or False? x+4 is a factor of 3x^5-4x^3+8x-9. If the statement is false, correct it to make it…

A: this is false

Q: Factor the expression completely. (This type of expression arises in calculus when using the…

A: In factorization we arrange the algebraic expressions that contain common factors within them.

Q: Factor the expression completely. (The type of expression arises in calculus in using the "product…

A: Given expression is 13x+6-232x-32+x+6132x-32. To factor the given expression. Solution: Factoring…

Q: Gvan a polynomial fx), if (x + 5) is a factor, what else must be true? O (0) - 5 O (0)=-5 O (5)-0…

A: Polynomial

Q: The binomial x-2 is a factor of 2r-5x-x+6. What are the other factors of the polynomial? (x+ 1)(x +…

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Q: x^2-9x+18 factoring

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Q: omplete factored form of the polynomial f(x), given that ko -11x -37x2-24x k = - 1 pe your answer in…

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Q: factor X^3-8y^3

A: Given,          x3 - 8y3

Q: Factor. 2 2 16–x²-²

A:

Q: For what value of a is x-3 a factor of x-4x² + ax -2a? Example: x-3; x=5

A:

Q: (a) Express the product shown below in standard (b) Write the following in factored form as the…

A: Given   (x+8)(x-8)

Q: +15x +26 3x-10 If the area of a rectangle in terms of x is and its width is Find the length of 6x2…

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Q: Factor the algebraic expression. 16a + 20 16a + 20 = %3D (Factor completely.)

A: We will factor the algebraic expression in next step.

Q: Factor polynomials completely by recognizing them as perefect square-trinomials. 9x^2-24xy+16y^2

A: Consider the given polynomial:

Q: 9x²-x+2. 1. Show that a-2 is a factor of z³-6x² +12r -8. ntor of 6x² + 5x³

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Part Two -Factoring 1. Which expressions are in factored form? (3x + 2)(2.x- 1) b)(3x2 – 2x + 1) +…

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Q: many real zeros

A: In this question we will use basic of algebra i.e solutions of polynomial equation. We will first…

Q: What are the degree and leading coefficient of the polynomial? -6v+4-23v- Degree: I Leading…

A: For any polynomial degree is the highest power of the variable and leading coefficient is…

Q: Factor completely. If the polynomial cannot be factored,say it is prime 6c^2-11c-12

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Q: 6 FI E 2.) Dividend: x- 7x+27x- 37x +6 Divisor: x-2 Divisor: x +2 s it a Factor? Highlight YES or NO…

A: 1)  x-2 is factor of given polynomial

Q: you are given a polynomial and one of its zeros. Use the techniques in this section to find the rest…

A: Please follow the steps as on the board :

Q: Factor the expression as a product of binomials. x2 − 26x + 25

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Q: Factor the expression completely. (The type of expression arises in calculus in using the "product…

A: To factor the expression. 12x-123x+412+32x123x+4-12 Solution: We know that, am·an=am+n And a-n=1an…

Q: factor f(x) = 3x3 -2x2 - 53x - 60 given that -3 is a zero

A: The given function is,

Q: Algebraically factor the polynomial P(x)=x* +3x' – 3x² – 7x+6. |

A: Given polynomialp(x)=x4+3x3-3x2-7x+6solution:-put x=1p(1)=14+313-312-71+6p(1)=0here x=1 is a factor…

Q: how to use the factor theorem to find all real zeros , step by step please

A: Statement of Factor Theorem:If f(x) is a polynomial of degree n≥1 and  ' a '  is any real number…

Q: Factor the quadratic expression. 2x+5x-3 +5x-3= (Factor completely.)

A: