(__-3)(__+7)=2x^2+x-21

(x - 3)(2x + 7) = 2x^2 + x - 21

Step-by-step explanation:

2x^2 + x - 21 = (__ - 3)(__ + 7)

The first term of the trinomial is 2x^2 which can be factored into 2x * 2.

You need to place 2x in one blank and x in the other blank.

Try it both ways. Then multiply the factors out to see which one gives you the correct middle term.

Try 2x - 3.

(2x - 3)(x + 7) = 2x^2 + 14x - 3x - 21 = 2x^2 + 11x - 21

This gives the middle term 11x, but we need the middle term to be x, so now we try x - 3.

(x - 3)(2x + 7) = 2x^2 + 7x - 6x - 21 = 2x^2 + x - 21

This gives the correct middle term, x, so this is the correct factorization.

(x - 3)(2x + 7) = 2x^2 + x - 21

3x^3-x^2+6x-9

every 5 customers that walk in, only 2 buy popcorn.

step-by-step explanation:

basically 2/5.

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