Factor the trinomial: 5x^{2}+22x+21

yapafw

yapafw

Answered question

2021-12-02

Factor the trinomial:
5x2+22x+21

Answer & Explanation

Othrom

Othrom

Beginner2021-12-03Added 15 answers

Step 1
Factorization of a polynomial is the process of decomposing the polynomial to its factors. Here the polynomial is written as the product of the factors of the polynomial .
Step 2
To factorize the polynomial given by;
5x2+22x+21
First rewrite the expression as follows;
5x2+22x+21=5x2+15x+7x+21
Now take out the greatest common factors 5x from the first two terms and 7 from the last two terms as follows;
5x2+15x+7x+21=5xx+5x3+7x+73
=5(x+3)+7(x+3)
Now finally taking out the common term (x+3) from the two terms of the above expression, as follows;
5x(x+3)+7(x+3)=(x+3)(5x+7)
Therefore the factored form of the given expression is (x+3)(5x+7)

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