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)

Q: 6.When 2x3+x2-2kx+b is divisible by x – 1, the remainder is –4, and when it is divided   by x + 2,…

A: Find Your Solution Below

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

A: Let f(x) and g(x) be two functions  then g(x) will be the factor of f(x) if remainder(f(x) / g(x))…

Q: What is the factored form of 49a2 -56a + 16?

A:

Q: 8. Which of the following is NOT a factor of x4- 4x2 ?

A:

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

A:

Q: What are the factors of x2 + 7x - 30? (x + 6)(x - 5) (x + 10)(x - 3) (x - 10)(x + 3) (x - 6)(x+…

A:

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

A:

Q: 7) What are the factors of 3x2+ 13x - 102 A) (3x - 5)(x+ 2) B) (3x- 2)(x+5) C) (3x - 5)(x - 2) D)…

A: 3x^2+13x-10=(3x-2)(x+5).

Q: Completely Factor: 3. 9x4 - 24x²y + 16y²

A:

Q: 6. When completely factored, the expression 48–- 3x² is written as (1) 3(16–x)(16+x) (3) 3(x-4)(x+4)…

A:

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

A:

Q: 17) What are the factors of 36x² - 121y² when factored completely? A) (4x+ 1ly)(9x - 11y) B) (6x +…

A:

Q: 9) Is x-2 a factor of x3 - 13x + 12?

A: To determine whether x-2 is a factor of x3-13x+12.

Q: 42,5 Factor the trinomial -42x°y -24xʻy% - 54x°y7 O 6xty (-7xy- 4x – 9y?) 4,,5 O-6a (7x²y®+ 4.xy5 +…

A:

Q: 2) What are the factors of 3x2-7x +2? A) (3x - 1)(x - 2) B) (3x + 1)(x + 2) C) (3x + 2)(x+ 1) D) (3x…

A:

Q: 15 What are the factors of this polynomial?

A:

Q: By factorising x3+1, show that (for suitable values of x) 1/(x2-x+1) = ∑∞n=0 (-1)n x3n+ ∑∞n=0 (-1)n…

A: The given question is solved 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: 6K^2-10KL+4L^2 Factor it and show work

A:

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: One of the factors of 4x2-9 is 1) (x+3) 2) (2x +3) 3) (4x-3) 4) (x-3)

A: we have to find the one of the factor of 4x^2 -9

Q: 1) Factor completely: x2 - 11x- 12   2) Factor completely: 128-18x2   3) Factor completely: 2a2…

A:

Q: Find k so that 4x + 3 is a factor of 20x3 + 23x2 - 10x + k.

A: If 4x+3 is a factor, then on plugging -34 for x in the given expression, the result is 0.

Q: 23 – 522 – 9z + 45

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

Q: 9. Use the Factor Theorem to explain if x + 3 is a factor of x³ + 2x² – 3x + 5.

A: To use the factor theorem to explain if x+3 is a factor of x^3+2x^2-3x+5

Q: (d) Show that x^2 − 4 is a factor of x^4 − 5x^3 + 2x^2 + 20x − 24.

A:

Q: What is the fully factored form of 32a^3+12a^2

A: Given expression is:    32a3+12a2

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

A:

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

A:

Q: Is (z-4) a factor of 6z -272+ 16z-8 O No, it is a not factor. OYes, it is a factor.

A: According to factor theorem, if f(x) is a polynomial of degree n ≥ 1 and 'a' is any real number,…

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

A:

Q: y4- 3y2-28

A: The given polynomial is: y4-3y2-28 To factorize the polynomial.

Q: What are the factors of x- 10x - 24? 1) (x-4)(x+6) 2) (x- 4)(x-6) 3) (x – 12)(x+ 2) 4) (x+ 12)(x– 2)

A: Option (3) is the correct option. Rearrange the given expression in order to factorize it.…

Q: What is the result when 2x4 - 6x³ - 13x2 + 13x + 1 is divided by 2x 9? If there is a remainder,…

A:

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

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: Find the factors of this expression by Factor Theorem.  3x3 + 7x2 + 2x - 4

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: ,2 Factor 4x + 12x + 9 (2x +3)² (2r – 3)2 (3r+2)2 (3z-2)2

A: Factor 4x2+12x+9

Q: 22. Factor the polynomial. 216a – 64 (62 – 4) (36z2 – 24m – 16) (62 – 4) (36? + 24n + 16) (6x + 4)…

A: Given the polynomial  216 x3 - 64  We need to factorised it. As we know the formula  a3 - b3 = (a -…

Q: 3 25. Simplify by FACTORING: 8(5x+1)z +8x ·(5x + 1)1/2 . 5

A: