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nataly862011 [7]
3 years ago
13

Use the grouping method to factor the polynomial below completely. X^3+2x^2+5x+10

Mathematics
2 answers:
Alekssandra [29.7K]3 years ago
7 0

(X^3+2x^2) +(5x+10)

X^2(x+2) +5(x+2)

(X^2+5)(x+2)

kodGreya [7K]3 years ago
5 0

Answer:

(x+2)\text{ and }(x^2+5) are the factors of given polynomial,    

Step-by-step explanation:

We are given the following information in the question:

We are given a polynomial:

x^3 + 2x^2 + 5x + 10

We have to factor this polynomial with the help of grouping method.

Grouping can be dine with the help of taking the common factors.

Working:

\text{Taking } x^2 \text{ common from the first two terms and 5 from the other two terms, we have}\\\Rightarrow x^2(x + 2) +5(x + 2)\\\text{Aain taking the common term}\\\Rightarrow (x+2)(x^2+5)

Hence, the two factors of the given polynomial are:

(x+2)\text{ and }(x^2+5)

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