What is the answer to the Factoring Trinomials by Trial and Error problem 3x squared + 11x + 10?

This is coming from Algebra 1 Unit 9 Factoring Polynomials Solving Quadratic Equations by Factoring. The section that it is coming from is Factoring Trinomials by Trial and Error. The problem is 3x squared + 11x + 10. Please help me.
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1 Answer

3x^2 + 11x + 10

first ask what multiplies to make 3x^2   (3x    )(x     )

then what multiplies to make 10 (2 and 5) the question is where to put each number (this is where trial and error comes in

if you start with (3x + 2)(x + 5) and FOIL you get 3x^2 + 15x + 2x + 10....notice that 15x + 2x = 17x not the 11x that you need

so try again, but switch the 2 and 5 (3x + 5)(x + 2) then 3x^2 + 6x + 5x + 10...notice that 6x + 5x = 11x

so answer is (3x + 5)(x + 2)
by Level 5 User (11.9k points)

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