1.Fully factor  1/2x2-x-4? 2. One of the factor of the polynomial expression  3x2+9x-30 is? 3. Simplified factored form of 8(x+3)2-6(x+3)-5 is? 4. The fully factored

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: What is the result when 2x3 + 14x² + 19x is divided by x + 2? If r(x) there is a remainder, express…

A:

Q: 5. The volume of a rectangular solid is given by the polynomial 3x- 3x - 33x + 54x. The length of…

A: volume of a rectangular solid is 3x4-3x3-33x2+54xlength of the solid is 3x and width is x-2

Q: Is x+2 a factor of x^5+8x^4−6x^3−3x^2−7x−146

A: To prove that x+2 is factor of given equation.

Q: i have a question about the step by step of 0= -x2+4x-5 using the quadratic formula

A: Consider the quadratic equation, -x2+4x-5=0 To solve the given equation,…

Q: 2. You're asked to factor a polynomial, but there was a printing error. What you read is: 16x? – 9x…

A: Given 16x2-9x-α=__x+b__x+c To fill the blanks in the ordered pair b1,b2

Q: What is the result when 3x + 21x³ + 26x2 + 4x - 7 is divided by x2 + 5x 3? If there is a remainder,…

A:

Q: True or false: The factorization of 12x + 21x² is 3x? · 4x2 + 3x² · 7.

A: Given polynomial is: 12x4+21x2 We have to factorize this polynomial.

Q: What is the degree of the polynomial 3x4-5x3+7x2-2x+8?

A: Degree of polynomial: The highest or the largest power of the variable denotes degree of variable…

Q: Given that (2x - 1) and (r + 3)are factors of the polynomial,2a + 13x2 + 17x 12, what is the third…

A:

Q: 2. Is the expression 4x³ – 3.6x? – V2 a polynomial? If so, what is its degree?

A: Let p(x)=4x3-3.6x2-2. The general form of a 3 degree polynomial with real coefficients is given by…

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: If the area of a triangle is x2−6x−16 m2 and the base is x−8 ​m, then what polynomial represents…

A: The area of a triangle is = (x2-6x-16)m2and the base is = (x-8)mwhat will be height of the traingle…

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

A:

Q: What is true about the degree of the sum and difference of the polynomials 3x5y - 2x3y4 and - 8x5y +…

A: 3x5y - 2x3y4 and - 8x5y + 2x3y4 + xy3

Q: 5. Multiply the polynomial p(r) = 3x – 2x2 – 7 by the polynomial q(x) = 4x – 1. You must show your…

A:

Q: The polynomial -6x + 50x+ ax+ 24 has factors x-1 and 2x + 1. Determine the value of a.

A: Suppose px be the given polynomial such that px=-6x3+50x2+ax+24 And the factors of the polynomial…

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: 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: True or false: The factorization of x - 4x2 + 5x – 20 is x(x – 4) + 5(x – 4).

A: To check true or false

Q: What is the result when 6x- 15x +4x? + 8x – 4 is divided by 3x2 – 3x – 1? If there is a remainder,…

A: Consider the equation

Q: Why is x-3 a factor of m(x) x^3-x^2-5x-3

A: It is  polynomial equation.

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

A: We have to find result when 2x3-13x2-5x-14 is divided by x-7

Q: Example 1: b and c are positive. What is the factored form of x2+5x+ 6? Try It Problem #1: What is…

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

A:

Q: A polynomial P ( x ) with real coefficients has 5 + 9 i as a zero. What other number must be a zero…

A: Comples zeroes of polynomial always come with conjugate pair. For example if a + b i is zero then a-…

Q: 8. The polynomial 3x³ + mx² - nx – 10 has a factor of x - 1. When divided by x + 2, the remainder is…

A: P(x) = 3x3 + mx2 - nx - 10                (i) It is given that (x - 1) is a factor of the above…

Q: What is the result when 2x + 13x° + 17x2 - 10x 1 is divided by r(x) x + 3? If there is a remainder,…

A:

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

A:

Q: Which statement about 6x + 7x – 10 is true? O One of the factors is (x + 2). O One of the factors is…

A: To factorise ax2+bx+cwe have to break 'b' in such a waythat sum is 'b' & the product is ac.

Q: 3. Use polynomial division to show that the general expression for the factors of the difference of…

A:

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: b is negative and c is positive. Example 2: What is the factored form of x2-11x+ 18? メ iry It…

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Q: When a polynomial x3 + x2 + 7x − 7 is divided by another polynomial, the quotient is x2 +3x + 13 and…

A: Solution:Given  p(x)=x3+x2+7x-7q(x)=x2+3x+14   and r(x)=19To Find other…

Q: 1.Fully factored form of 25x2-144 is ? 2. One of the factors of the polynomial expression…

A: Please refer the attached image for complete solution.

Q: If the area of a triangle is x2 −2x−24 m2 and the base is x−6 m, then what polynomial represents…

A:

Q: What are the factors of x2 - 12r+ 36? A) (x+ 4)(x - 9) B) (x+ 6)(x + 6) C) (x- 6)(x - 6) D) (x- 4)(x…

A: Given that          x2 - 12x + 36 Here we have to find the factor.

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

A:

Q: 2) A) (3x + 4)(x - 5) B) (3x- 5)(x+4) C) (3x- 4)(x+ 5) D) (3x+ 5)(x - 4) What are the factors of…

A: 3x2+7x-20 3x2+12x - 5x - 20 3xx + 4 - 5x + 4 3x- 5x + 4

Q: If 2x³ 2x² - 9x² + 4x 7 is divided by x - 3 to give a quotient of 3x - 5 and a remainder of -22,…

A:

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

A: The given result of a polynomial division is 2x3-4x2-5x+23x+2. Observe the following. Quotient,…

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

A:

Q: 1) When x2- 4x -12 is factored completely, 8) one of the factors will be A) x+ 2 B) x-4 C) x-3 D)…

A: We have to find correct answer

Q: 5. If the remainder dividing the polynomial P(x) = 2x³ + kx? + 7x +6 by x- 4 is 114, find the…

A: Quotient Remainder theorem  The answer after we divide one number by another. dividend ÷ divisor =…

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

A:

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

A:

Q: The ac product of 6x^2 + 13x + 6 is ____x^2.    The middle term can be rewritten as ___ x + ____ x…

A: Here I am attaching image so that you understand each and every step.

Polynomials

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