MATH SOLVE

3 months ago

Q:
# Which is the completely factored form of 4x3 + 10x2 – 6x?

Accepted Solution

A:

Answer:2x(x + 3)(2x - 1)Step-by-step explanation:Given4x³ + 10x² - 6x ( factor out 2x from each term )= 2x(2x² + 5x - 3)To factorise the quadraticConsider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.product = 2 × - 3 = - 6 and sum = + 5The factors are + 6 and - 1Use these factors to split the x- term2x² + 6x - x - 3 ( factor the first/second and third/fourth terms )2x(x + 3) - 1(x + 3) ← factor out (x + 3) from each term(x + 3)(2x - 1), hence2x² + 5x - 3 = (x + 3)(2x - 1)Hence4x³ + 10x² - 6x = 2x(x + 3)(2x - 1)