MATH SOLVE

2 months ago

Q:
# What side lengths should be used to model a rectangle with an area of x2+3x-10 square units? x-5 and x+2 x-2 and x+5 x and x+3 x+3 and x-10

Accepted Solution

A:

The dimension of the rectangle is (x + 5) and (x – 2). Then the correct option is B.What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.The area of the rectangle is x² + 3x – 10.On factorization, we havex² + 3x – 10x² + 5x –2x – 10x (x + 5) –2 (x + 5)(x + 5) (x – 2)We know that the area of a rectangle is given as Area = Length × Widthx² + 3x – 10 = (x + 5)(x – 2)On comparing, we haveThe dimension of the rectangle is (x + 5) and (x – 2). Then the correct option is B.More about the factorization link is given below.