Question

Chose the correct item from drop down menu to factor the trinomial 3x^2+13x-10

Answer 1

Answer:

(3x-2)(x+5)

Step-by-step explanation:

First, set up an X to solve for potential factors. The two factors should add up to the middle value (13) and multiply to equal to the combined value of the first and third values (-30 (3 x -10)).

Find which two numbers can add to equal 13 and multiply to equal -30: -2 and 15.

Split the middle value into those two values like so:

3x^2 + 15x - 2x - 10

Now, factor out 3x from the first two values and -2 from the last two, like so:

3x(x + 5) - 2(x + 5)

Now, because both 3x and -2 are multiplied by the same factor, you can split the above expression into the new, factored expression:

(3x - 2)(x + 5)