Question

6.4 trinomials where a does n
(1 point)
factor:
$8x^2 + 14x + 5 = \square$
preview my answers submit answers
you have attempted this problem 0 times.
you have unlimited attempts remaining.
email instructor

Explanation:

Step1: Find product of leading coefficient and constant

$8 \times 5 = 40$

Step2: Find two numbers multiplying to 40 and adding to 14

Numbers: 4 and 10 (since $4 \times 10 = 40$, $4 + 10 = 14$)

Step3: Split middle term using these numbers

$8x^2 + 4x + 10x + 5$

Step4: Factor by grouping

$4x(2x + 1) + 5(2x + 1) = (4x + 5)(2x + 1)$

Answer:

$(4x + 5)(2x + 1)$