Question

Factor the polynomial 4x4 – 20x2 – 3x2 + 15 by grouping. What is the resulting expression?

(4x2 + 3)(x2 – 5)
(4x2 – 3)(x2 – 5)
(4x2 – 5)(x2 + 3)
(4x2 + 5)(x2 – 3)

Answer 1

Answer:

(4x2-3)(x2-5)

Step-by-step explanation:

(4x4-20x2)-(3x2+15)

4x2(x2-5)-3(x2-5)

(4x2-3)(x2-5)

Answer 2

The factorized expression of the polynomial is (4x^2- 3)(x^2 -5)

What are polynomials?

Polynomials are expressions that have more than one term

The expression is given as:

$4x^4 - 20x^2 - 3x^2 + 15$

Factorize the expression

$4x^2(x^2 - 5)- 3(x^2 -5)$

Factor out x^2 - 5

$(4x^2- 3)(x^2 -5)$

Hence, the expressions when multiplied that give the polynomial are (4x^2- 3) and (x^2 -5)

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