Q: Which of the binomials is a factor of this trinomial x2 plus 6x - 40?

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x2+14x+40 = (x+4)(x+10) when factored

(x - 5)(x - 8)

(x + 5)(x + 8)

X3 + 13X2 + 40X factor out an X X(X2 + 13X + 40) factor the quadratic expression, what two factors of 40 add up to 13? X(X + 8)(X + 5) works the same if that is a negative in front of X3, just sign changes

(x2 plus 40) (x minus 1)

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x - 4 APEX

(x + 10)(x + 4)

You didn't bother to list the binomials to choose from, but the two binomial factors of x2 + 6x - 40 are (x + 10) and (x - 4)

(x + 10)(x + 4)

x2+14x+40 = (x+4)(x+10) when factored

(x - 5)(x - 8)

(x + 5)(x + 8)

(x + 8)(x - 5)

x2+14x+40 = (x+4)(x+10) when factored

x2-7x-44 (x-11)(x+4)

X3 + 13X2 + 40X factor out an X X(X2 + 13X + 40) factor the quadratic expression, what two factors of 40 add up to 13? X(X + 8)(X + 5) works the same if that is a negative in front of X3, just sign changes

You should look for two numbers whose product is 40, and whose sum is 13. Experimenting a little (trying different pairs of factors for 40), you can quickly realize that this works for 8 and 5. Therefore, x2 + 13x + 40 = (x + 8) (x + 5)