Mary Reyes

2021-12-11

Factor completely each polynomial, and indicate any that are not factorable using integers. $4{x}^{2}+16$

soanooooo40

Step 1
To factor completely each polynomial, and indicate any that are not factorable using integers.
$4{x}^{2}+16$
Step 2
Now, let us factor each term of the given polynomial,
$4{x}^{2}+16$
Consider,
$4{x}^{2}=2\cdot 2\cdot x\cdot x$
16=2*2*2*2
From, the above factored terms it is clear that the terms common are 2.2, so we can factor the polynomial,
$4{x}^{2}+16=2\cdot 2\left(x\cdot x+2\cdot 2\right)=4\left({x}^{2}+4\right)$

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