Question

drag the terms to the correct locations in the expression. not all terms will be used. what is the complete factorization of 5x^2 - 11x - 12? (__+)( - __) x 3x 5x 2 3 4

Explanation:

Step1: Multiply the coefficient of $x^{2}$ and the constant term

$5\times(- 12)=-60$

Step2: Find two numbers that multiply to -60 and add up to -11

The numbers are -15 and 4 since $-15\times4=-60$ and $-15 + 4=-11$

Step3: Rewrite the middle - term

$5x^{2}-11x - 12=5x^{2}-15x+4x - 12$

Step4: Group the terms

$(5x^{2}-15x)+(4x - 12)$

Step5: Factor out the greatest common factor from each group

$5x(x - 3)+4(x - 3)$

Step6: Factor out the common binomial factor

$(5x + 4)(x-3)$

Answer:

$(5x + 4)(x - 3)$