Question

factor the following polynomial completely by grouping. if the expression cannot be factored, enter the expression as is.
$24x^{3}+21x^{2}+8x + 7$

Explanation:

Step1: Group the terms

$(24x^{3}+21x^{2})+(8x + 7)$

Step2: Factor out the GCF from each group

$3x^{2}(8x + 7)+1(8x + 7)$

Step3: Factor out the common binomial factor

$(8x + 7)(3x^{2}+1)$

Answer:

$(8x + 7)(3x^{2}+1)$