document.write( "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
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Algebra.Com's Answer #387564 by fcabanski(1391) $\"\"$ $\"About$

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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).

\n" ); document.write( "A rectangle's area, if represented as a quadratic trinomial, has as its length and width the binomial factors.

\n" ); document.write( "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.

\n" ); document.write( "Remember it has to be multiplied using FOIL - First times first, outside times outside, inside times inside, and last times last.

\n" ); document.write( "This solution is (x + a) such that a*(-8) = -24 and a+(-8) =-5. That's 3.

\n" ); document.write( "The length of this rectangle is (x+3). To check, multiply (x+3)(x-8) using FOIL.
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