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Which of the following is a factor of 9x^2+21+10

Which of the following is a factor of 9x^2+21+10-example-1

1 Answer

2 votes

Answer:

3x+ 5 is a factor

Explanation:

Factorization:

9x² + 21x + 10

Sum = 21

Product = 90

Factors = 15 * 6 {15*6=90 & 15+6 = 21}

9x² + 21x + 10 = 9x² + 15x + 6x + 10

{Rewrite the middle term using factors}

= 3x(3x + 5) + 2(3x + 5)

= (3x + 5)(3x + 2)

3x + 5 is a factor.

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