Complete the factored form.
-$20 x ^ { 2 } - 31 x + 12 = ( 5 x - 4 )$
A) $( 4 x - 3 )$
B) $( 5 x + 4 )$
C) $( 4 x + 3 )$
D) $( x + 4 )$

Question

Quizplus · Accepted Answer

The correct factored form of $20x^2 - 31x + 12$ is $(5x - 4)(4x - 3)$. Factoring involves finding two numbers that multiply to give the product of the coefficient of $x^2$ (which is 20) and the constant term (which is 12), and add to give the coefficient of $x$ (which is -31). The numbers -4 and -3 work, leading to the factors (5x - 4) and (4x - 3).

Complete the Factored Form 20x2−31x+12=(5x−4)20 x ^ { 2 } - 31 x + 12 = ( 5 x - 4 )20x2−31x+12=(5x−4)

Complete the Factored Form $20 x ^ { 2 } - 31 x + 12 = ( 5 x - 4 )$