Question

factor the polynomial.
16p² - 14p + 4
16p² - 14p + 4 =

Explanation:

Step1: Check discriminant value

Calculate discriminant $D = b^2-4ac$ for $ax^2+bx+c$.
$D = (-14)^2 - 4(16)(4) = 196 - 256 = -60$

Step2: Factor out GCF first

Factor out 2 from all terms.
$16p^2-14p+4 = 2(8p^2-7p+2)$

Step3: Confirm no real factors

Since $D<0$, $8p^2-7p+2$ has no real linear factors.

Answer:

$2(8p^2 - 7p + 2)$