## Algebra 1

The area of a rectangle is $l \times w$ so given the area= $x^{2} -22x - 48$ we must factor them to find the l and w. Given the polynomial $x^{2} -22x - 48$ *** We break of the middle term into two factors that add to give -22 and multiply to give -48. The two numbers are -24 and +2. $x^{2} -24x + 2x - 48$ We take the GCD of the first two and the GCD of the last two terms. x(x-24) +2(x-24) We take (x-24) and factor it out which gives us. (x-24)(x+2) Therefore since Area=$l \times w$ the two dimensions are (x+2) and (x-24)