Question

algebra1(hs)-2(b)-25-26
additional practice
factor the polynomial.
8p² - 20p + 24
8p² - 20p + 24 = □

Explanation:

Step1: Factor out GCF

$8p^2 - 20p + 24 = 4(2p^2 - 5p + 6)$

Step2: Check quadratic for factorization

Discriminant: $\Delta = (-5)^2 - 4(2)(6) = 25 - 48 = -23$
Since $\Delta < 0$, $2p^2 -5p +6$ is irreducible over real numbers.

Answer:

$4(2p^2 - 5p + 6)$