Mary Reyes

2021-12-11

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

soanooooo40

Beginner2021-12-12Added 35 answers

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,

$4{x}^{2}+16=2\cdot 2(x\cdot x+2\cdot 2)=4({x}^{2}+4)$

To factor completely each polynomial, and indicate any that are not factorable using integers.

Step 2

Now, let us factor each term of the given polynomial,

Consider,

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,

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

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