factor the polynomial $4x^{4}-20x^{2}-3x^{2}+15$ by grouping. what is the resulting expression?\n$(4x^{2}+3)(…

factor the polynomial $4x^{4}-20x^{2}-3x^{2}+15$ by grouping. what is the resulting expression?\n$(4x^{2}+3)(x^{2}-5)$\n$(4x^{2}-3)(x^{2}-5)$\n$(4x^{2}-5)(x^{2}+3)$\n$(4x^{2}+5)(x^{2}-3)$

factor the polynomial $4x^{4}-20x^{2}-3x^{2}+15$ by grouping. what is the resulting expression?\n$(4x^{2}+3)(x^{2}-5)$\n$(4x^{2}-3)(x^{2}-5)$\n$(4x^{2}-5)(x^{2}+3)$\n$(4x^{2}+5)(x^{2}-3)$

Answer

Answer:

B. $(4x^{2}-3)(x^{2}-5)$

Explanation:

Step1: Group the terms

$(4x^{4}-20x^{2})+(-3x^{2}+15)$

Step2: Factor out GCF from each group

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

Step3: Factor out the common binomial factor

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