Question

The area of the INHS multipurpose hall floor is given by the expression 4x^2+5x-6 what is the length if its width is x-2?

Answer 1

Answer:

(4x²+5x-6) / (x-2)

Step-by-step explanation:

The area of a rectangle is equal to the length times the width. So, the length is equal to the area divided by the width.

The key to solving this is to recognize that 4x^2 + 5x - 6 = (x - 2) * (2x + 3). This is called factoring a quadratic equation. Factoring is the hardest thing you will do in grade 9 algebra. It takes practice.

The fact that the width is expressed as x - 2 is a hint that this will be part of the factoring of 4x^2 + 5x - 6. So think about what times (x - 2) would equal the formula for the area.