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please help me factor and explain the trinomials? i will give a million stars!?

Factoring these trinomials?

2x^2 + 13x + 15

2x^2 + 27x + 13

can someone please show the work and explain it so i can understand :(

Answers (2)

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The first numbers in each binomial multiply to be 2 and the last two multiply to be 15 so try possibilities until you get it, (2x + 3)(x + 5)

which you know is right because the outside two multiply to be 10x and the inside two multiply to be 3x, and 10x + 3x = 13x

Then similarly, (2x + 1)(x + 13)