Priscilla Johnston
2021-12-25
Answered

How do you factor the trinomial $2{x}^{2}+20x+50$ ?

You can still ask an expert for help

Serita Dewitt

Answered 2021-12-26
Author has **41** answers

Explanation:

We see that 2 is a common factor among all of the coefficients so we can factor 2 to the front giving us

We now need 2 numbers which add to give 10 and multiply to give 25 (or use the quadratic formula). These 2 numbers will be 5 and

eninsala06

Answered 2021-12-27
Author has **37** answers

Solution:

Factor 2 out of$2{x}^{2}+20x+50$

$2({x}^{2}+10x+25)$

Factor using the perfect square rule.

Rewrite 25 as$5}^{2$

$2({x}^{2}+10x+{5}^{2})$

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

$10x=2\cdot x\cdot 5$

Rewrite the polynomial.

$2({x}^{2}+2\cdot x\cdot 5+{5}^{2})$

Factor using the perfect square trinomial rule$a}^{2}+2ab+{b}^{2}={(a+b)}^{2$ , where $a=x$ and $b=5$

$2{(x+5)}^{2}$

Factor 2 out of

Factor using the perfect square rule.

Rewrite 25 as

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

Rewrite the polynomial.

Factor using the perfect square trinomial rule

karton

Answered 2021-12-30
Author has **368** answers

Thanks for the clarification, I think it will help me.

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