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777dan777 [17]
3 years ago
8

Factor this trinomial: 5x^2+17x+6

Mathematics
1 answer:
nevsk [136]3 years ago
7 0

Step-by-step explanation:

Hey there!

Given;

= 5 {x}^{2}  + 17x + 6

<u>Solve</u><u> </u><u>it</u><u> </u><u>through</u><u> </u><u>mid-term</u><u> </u><u>factorization</u><u>. </u>

<u>= 5 {x}^{2}  + (15 + 2)x + 6</u>

<u>Simplify</u><u> </u><u>it</u><u>. </u>

<u>= 5 {x}^{2}  + 15x + 2x + 6</u>

<u>= 5x(x + 3) + 2(x + 3)</u>

<u>= (5x + 2)(x + 3)</u>

<u>Therefore the</u><u> </u><u>factors</u><u> </u><u>are</u><u>;</u><u> </u><u>(</u><u>5</u><u>x</u><u>+</u><u>2</u><u>)</u><u> </u><u>(</u><u>x</u><u>+</u><u>3</u><u>)</u><u>.</u>

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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