If the area of the rectangle is given by the polynomial 2x²-7x-15,what is the dimension of the rectangle in terms of X?
Answers
Given : Area of the rectangle is given by the polynomial 2x²-7x-15,
To Find : the dimension of the rectangle in terms of X
Solution:
Area of the rectangle is given by the polynomial 2x²-7x-15,
Area of the rectangle = length * breadth
2x²-7x-15
using middle term split
= 2x²-10x+3x -15
Taking 2x common from 1st 2 terms and 3 common from last 2 terms
= 2x( x - 5) + 3(x - 5)
Taking (x - 5) common from both the terms
= ( x - 5)(2x + 3)
(x - 5) and ( 2x + 3) are the sides of the rectangle
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Answer:
2x²-7x-15 can be factored as: (2x+3)(x-5).
Therefore assume that the dimensions of the rectangle are 2x+3 and x-5.