Which of the following shows the factors of
5x^2 + 17x + 6?
A. (5x + 1)(x + 6)
B. (5x + 2)(x + 3)
C. (5x + 3)(x + 2)
D. (5x + 6)(x + 1)

Question

Which of the following shows the factors of 
5x^2  +  17x  +  6?
A. (5x  +  1)(x  +  6)
B. (5x  +  2)(x  +  3)
C. (5x  +  3)(x  +  2)
D. (5x  +  6)(x  +  1)

jim_thompson5910 · Answer

5x^2+17x+6


5x^2+2x+15x+6


(5x^2+2x)+(15x+6)


x(5x+2)+(15x+6)


x(5x+2)+3(5x+2)


I'll let you finish up

anonymous · Answer

To factor the given quadratic, we first determine which two numbers multiply to 30 and add up to 17. We notice that 15 and 2 are the right numbers. So we re-write the quadratic as:

   5x^2 + 17x + 6 
= 5x^2 + 15x + 2x + 6

At this point, we can factor the x's and y's.

= 5x(x + 3) + 2(x + 3)

Now we have two terms with x + 3, which means we can factor that out due to the distributive property which will be our last step. Can you do that for me?

@Keandrap15

anonymous · Answer

is it b? i just figured it out

anonymous · Answer

@Keandrap15 That is correct. Good job.

anonymous · Answer

thank you