Question

If the area of a rectangle can be represented by x^2 -5x-14. What two expressions can represent the dimensions of the rectangle?

Answer 1

x-7

x + 2

Explanation:

the equation is a quadratic equation

we need to find factors of -14x² that would add up to -5x

these factors are -7x + 2x

(x² + 2x) - (7x - 14)

factorise the expressions in the bracket

x(x + 2) -7(x + 2)

(x-7 )

or x + 2