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Which are the prime factors of the polynomial 24x4 – 3x? Check all that apply.

a) 2x
b) 3x
c) (4x2 + 1)
d) (2x – 1)
e) (x – 1)
f) (4x2 + 2x + 1)
g) (2x2 – 2x + 1)

Respuesta :

abidemiokin

The  prime factors of the polynomial 24x4 – 3x are 3x, 2x -1 and  (4x2 + 2x + 1)

Prime factorization

Given the polynomial function expressed as:

24x^4 – 3x

Factorize

y = 24x^4 – 3x

Factor out the GCF

y = 3x(8x^3 - 1)


Factor the expression in parenthesis

y = 3x((2x)^3 - 1^3)

y = 3x(2x-1)((2x)^2 + 1^2 +2x)

y = 3x(2x -1)(4x^2 +2x + 1)

Hence the  prime factors of the polynomial 24x4 – 3x are 3x, 2x -1 and  (4x2 + 2x + 1)

Learn more on prime factorization here: https://brainly.com/question/92257

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