Question

hw sec. cr.7
score: 7/10 7/10 answered
question 8
factor the following trinomial.
$20 + 33x + 10x^{2} =$
question help: video ebook

Explanation:

Step1: Rearrange into standard form

$10x^2 + 33x + 20$

Step2: Find product of $a$ and $c$

$10 \times 20 = 200$

Step3: Find pair summing to 33

Factors of 200: $8$ and $25$, since $8+25=33$

Step4: Split middle term

$10x^2 + 25x + 8x + 20$

Step5: Factor by grouping

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

Step6: Factor out common binomial

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

Answer:

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