Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

factor by grouping. \\(5x^3 - 4x^2 + 35x - 28\\)

Question

factor by grouping. \\(5x^3 - 4x^2 + 35x - 28\\)

Explanation:

Step1: Group terms into pairs

$(5x^3 - 4x^2) + (35x - 28)$

Step2: Factor out GCF from each pair

$x^2(5x - 4) + 7(5x - 4)$

Step3: Factor out common binomial

$(5x - 4)(x^2 + 7)$

Answer:

$(5x - 4)(x^2 + 7)$