Question

Multiply monomials by polynomialsA rectangle has a height of 4 and a width of x² + 3x + 2.Express the area of the entire rectangle.Expression should be expanded.3.224

Answer 1

Area of the rectangle = 4x² + 12x + 8

Explanation:

Area of a rectangle = length * width

length = 4

width = x² + 3x + 2

Area of the rectangle = 4 (x² + 3x + 2)

Expand: Multiply the number outside(4) by each of the expression or number at the top of the table:

4(x²) = 4x²

4(3x) = 12x

4(2) = 8

An addition sign seperates each of the expression:

Area of the rectangle = 4x² + 12x + 8