Victor Wall

2021-12-11

Factor each polynomial completely. If the polynomial cannot be factored, say it is prime.
$5+16x-16{x}^{2}$

xandir307dc

Step 1
Given: $5+16x-16{x}^{2}$
$=5+20x-4x-16{x}^{2}$
Step 2
=5(1+4x)-4x(1+4x)
=(5-4x)(1+4x)
Hence,
$5+16x-16{x}^{2}=\left(5-4x\right)\left(1+4x\right)$

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