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2 years ago

Which shows one way to determine the factors of x3 + 4x2 + 5x + 20 by grouping?

Mathematics

2 answers:

irina1246 [14]2 years ago

9 0

Answer:

Option (b) is correct

The factored form of polynomial $x^3+4x^2+5x+20$ by grouping terms is $x^2(x+4)+5(x+4)$

Step-by-step explanation:

Given polynomial $x^3+4x^2+5x+20$

We have to determine the factor of given polynomial using grouping.

Grouping is done by taking greatest common factor common from different terms.

Consider the given polynomial $x^3+4x^2+5x+20$

Here, we can take $x^2$ common from first two terms and 5 common from last two terms, we get,

$x^3+4x^2+5x+20$

$\Rightarrow x^2(x+4)+5(x+4)$

$\Rightarrow (x^2+5)(x+4)$

Thus, the factored form of polynomial $x^3+4x^2+5x+20$ by grouping terms is $x^2(x+4)+5(x+4)$

Thus, Option (b) is correct.

elena55 [62]2 years ago

4 0

The correct answer is x2(x+4) + 5(x+4)
That is the second choice.

I hope this helps!!
Please make brainliest to help me!!
Thanks!!

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