SOLUTION: the rectangle is represented by x2-5x-24. if the width of the rectangle is represented by x-8, express the length of the rectangle as a binomial

Question 616219: the rectangle is represented by x2-5x-24. if the width of the rectangle is represented by x-8, express the length of the rectangle as a binomial

Found 2 solutions by fcabanski, solver91311:
Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!
This is a basic factoring problem. A 2nd degree trinomial or quadratic trinomial (ax^2 + bx + c) has two first degree binomials as factors (x+a)(x+b).

A rectangle's area, if represented as a quadratic trinomial, has as its length and width the binomial factors.

This problem gives one of the binomial factors (x-8). The other factor is the length, and when multiplied by (x-8) results in the given quadratic trinomial.

Remember it has to be multiplied using FOIL - First times first, outside times outside, inside times inside, and last times last.

This solution is (x + a) such that a*(-8) = -24 and a+(-8) =-5. That's 3.

The length of this rectangle is (x+3). To check, multiply (x+3)(x-8) using FOIL.

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Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Factor

which should be a fairly simple task since you know that one of the factors must be . The missing factor is the length.

John

My calculator said it, I believe it, that settles it

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