Step-by-step explanation:
Area of rectangle = 6x2+5x−6
Width = 3x−2
In area equation, multiply coefficient of first term with third term, which is constant and find factors.
6×(−6)=−36 ⟹ −1×2×2×3×3=−36
Now check for middle term and try to find out whether addition or subtraction of factors equals to coefficient of middle term or not?
(3×3)+(−1×2×2)=9−4=5 ✓
Yes this equation can be factored.
(6x+9)(6x−4)
First bracket is divisible by 3 and second is divisible by 2 , so simplify it.
(2x+3)(3x−2)
One of the factors (3x−2) of this equation is equal to width of rectangle, so division results into,
(2x+3) and that's the length of rectangle.
