Question

One factor of 10x^3+51x^2+3x-10 is (x+5). what are the other two factors?
(my answer: (x-1/4) and (x+1/2)

Answer 1

Incorrect.

Do a synthetic division of 10x^3+51x^2+3x-10 by (x+5).
Then factor the quadratic.

Answer 2

I got this, buthow do you factor this p(x) (x+5) (10x^2+x-2)?

Answer 3

10x^2 + x - 2
10 * -2 = -20
what two factors of -20 add to +1?
5 and -4

10x^2 + x - 2
10x^2 + 5x - 4x - 2
5x(2x + 1) - 2(2x + 1)
(5x-2)(2x+1)

Answer 4

10x^3+51x^2+3x-10 = (x+5)(5x-2)(2x+1)

Answer 5

thank you sooo much! i got it!

Answer 6

You are welcome.

Answer 7

can I ask you another question?

Answer 8

go ahead.