Question

integrated math 2 course: integrated math 2 > unit 2 lesson 1: multiplying monomials by polynomials polynomials intro a rectangle has a height of 4 and a width of x^{2}+3x + 2. express the area of the entire rectangle. expression should be expanded.

Explanation:

Step1: Recall area formula

$A=\text{height}\times\text{width}$

Step2: Substitute given values

$A = 4\times(x^{2}+3x + 2)$

Step3: Distribute 4

$A=4\times x^{2}+4\times3x+4\times2$

Step4: Simplify terms

$A = 4x^{2}+12x + 8$

Answer:

$4x^{2}+12x + 8$