# Factor each polynomial completely. If the polynomial cannot be factored,

Factor each polynomial completely. If the polynomial cannot be factored, say it is prime.
$4{y}^{2}-16y+15$
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Step 1
Given the polynomial $4{y}^{2}-16y+15$
We factor this polynomial by grouping method as follows
Step 2
$4{y}^{2}-16y+15$
$=4{y}^{2}-6y-10y+15$
=2y(2y-3)-5(2y-3)
=(2y-3)(2y-5)
(2y-3) and (2y-5) are the required factors