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21 July, 07:45

A rectangle has a length of x + 5 and width of x - 3. What is the area of the rectangle? Write the answer as a polynomial in standard form.

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  1. 21 July, 08:13
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    Step-by-step explanation:

    Area = length * width

    length: x + 3

    width: x - 5

    A = (x + 3) (x - 5)

    Simplify (x + 3) (x - 5) using the FOIL method:

    1. First numbers: multiply the first number of each binomial together--x*x = x%5E2

    2. Outer numbers: multiply the outer number of each binomial (out of the entire expression, the number farthest to the left (x) and the number farthest to the right (-5)) - -x*-5 = - 5x

    3. Inner numbers: multiply the inner number of each binomial--3*x = 3x

    4. Last numbers: multiply the last number of each binomial--3*-5 = - 15

    ==> Now, add all of the results together and combine like terms: x%5E2+-+5x+%2B+3x+-+15 = x%5E2+-+2x+-+15

    Therefore, A = x%5E2+-+2x+-+15
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