6. When completely factored, the expression 48 – 3x² is written as (1) 3(16–x)(16+x) (3) 3(x-4)(x+4) (2) 3(x-16)(x+16) (4) 3(4–x)(4+x) 7. Which of the following represents the greatest common factor of the terms 4x y and 18xy ?

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 factored form of 49a2 -56a + 16?

A:

Q: Show that x2 − 4 is a factor of x4 − 5x3 + 2x2 + 20x − 24.

A:

Q: What is the result when 4x - 11a - 24x2 + 19x – 12 is divided by T(x) 4? If there is a remainder,…

A:

Q: What is the result when x4 6x3 + 4x2 + 18x – 12 is divided by x-4? If there is a remainder, express…

A: We will use long division method to find the answer

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: What is the greatest common factor of the terms in 16x" y - 24x°y - 16x'y? 12 Find the middle term…

A: topic - binomial theorem note : as per bartleby guidelines, we are supposed to answer only first…

Q: What is the value of k so that (x3 +4x 2+x + k)÷(x+2) give a remainder of 3?

A: To find the value of k so that x3+4x2+x+k÷(x+2) gives a remainder 3.

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

A:

Q: Compare and contrast the following polynomials: x2 – 16 x* – 16 - Factor 2 – 16 Make a conjecture…

A: We have to compare and contrast the polynomials x2-16 x4-16

Q: Show that (2x+7) is a factor 2x2+5x2-11x-14.Hence factories the given expression completly ,by using…

A:

Q: Cannot be factored, say so. 1. x-x-2 2. x? + 4: + 3 3. x-4x + 3 4. x - 5x + 6 5. x+x-2 6. x?- 5x + 4…

A:

Q: 16) What are the factors of 9x2 - 16y2? A) (3x+ 4y)(3x -4y) B) (9x - 16y)(x+ y) C) (3x- 4y)(3x - 4y)…

A:

Q: 5. Factor 27r- 125 completely. (3x– 5)³ (3x- 5)(9x2+ 15x+ 25)

A:

Q: 9a2 +30ab+25b2 factor completely

A:

Q: 4. Find the factors of the following polynomials with complete solution using synthetic division.

A:

Q: Determine the value of 7A+7M if 2x4 + 3x3 + + 8x2 + 9x + 3 A За + М + (1+x²)² х — 3 x(1+x²)² 1+x² ||

A: Given: 2x4+3x3+8x2+9x+3x1+x22=Ax-x-31+x2+3x+M1+x22

Q: 5. Find Q where Q is from the QR factorization of -5 -1 9 3 2 -9 -6- 3

A:

Q: 6.6 Factor by Grouping Date Factor completely. 1) x* + 27x 2) x - 1 3) x' - 64 4) x + 2x² – 3x – 6

A:

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: 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: One of the factors of 4x - 9 is 1) (x+3) 2) (2x +3) 3) (4x – 3) (x – 3) 4)

A: Given: Let the given expression is 4x2-9   Formula used: a2-b2=(a-b)(a+b)

Q: Completly factorize x5 + 4x4 + 7x³ + 8x² + 4x + 2 in Q[x]. Justify that the found factors are…

A:

Q: Show that p-1 is a factor of p10-1 and also p11-1

A:

Q: 23 – 522 – 9z + 45

A: Given: z3-5z2-9z+45

Q: 9. Find the quotient and the remainder of x³ + 2x² – 1 divided by 3x2 +1 in Z7[x].

A: Note that for Z_7  Any number is equal to the remainder when it is divided by 7.

Q: Show that x2 − 4  is a factor of  x4− 5x3+ 2x2 + 20x − 24.

A:

Q: 21. Factor 27x +125 (3x +5)(9x² +25) (3x – 5)( 9x² +15x+25) C ){ x² = ) С. (3x +5) 30x+25 D. (3x +5)…

A:

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

A:

Q: Find all integers b so that x2 + bx -18 can be factored

A:

Q: What is the result when 16x + 4x° - 14x2 - 23x - 3 is divided by 4x2 1? If there is a remainder,…

A:

Q: Show that x2− 4 is a factor of x4 − 5x3 + 2x2 + 20x − 24.

A:

Q: ab+4a+5b+20 factor completly

A: Given, ab+4a+5b+20 Regrouping →xa+b+ya+b=x+ya+b

Q: b. Find a QR-factorisation of 1 -1 1 1 1 1 -1 0 |

A: Step:-1 Given matrix  is  110-1010111-10 Let  A= 110-1010111-10 Now, we'll apply Gram-Schmidt…

Q: 2. Determine whether x + 1 is a factor of x27 + 4x20 – 3x15 – 6. -

A: We have to solve

Q: x^2+5)(2x-6 C) x(2x+10)(2x-6) D) 2x(x+5)(x-3)

A:

Q: 9. What is the possible equation of the following polynomial in factored form?

A:

Q: W hat is the greatest common factor of the terms in 16xy - 24x°y' – 16x'y? 8x3 8xy? Option 1 Option…

A: A factor is the number or veriable that are multiple to a term are called it's factor . For example…

Q: Which of the following is the correct factorization of 27x3 - 1? O (3x - 1)(3x² + x + 1) O (3x +…

A:

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

A:

Q: 1. Use the Product Rule to find for y=(4x'-3x)(2x* +5).

A: Given          y=(4x3-3x5)(2x-6+5)          find dydxx=1Product rule :- Product rule states…

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: 6. When z³ + 81u² −9zu² - 9z² is factored COMPLETELY, one of the factors is: a. 9+z b. -9+z C. not…

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

A:

Q: What is the greatest common factor of the terms in 16x - 24x y- 16xy? 8x3 8x y? O Option 1 Option 2…

A:

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

A: