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F(x)=2x^2+9x+4

what are the zeros

1 Answer

8 votes

Answer:

(2x+1) (x+4)

Explanation:

The idea is to break down the middle term into two monomials which can be used in the factorization process. Note that

2.4=8=8.1 , and that we may write 9=8+1 , which may help us in the process.

Let us write:

2x^2+9x+4

=2x^2+8x+x+4

=2x(x+4)+(+4)

=(2x+1)(x+4)

User Rodneyrehm
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