Question

7.3 multiplying polynomials quiz

a rectangle has a length of \\(x+4\\) and a width of \\(x+2\\). write an expression for the area.

\\(x^2 + 6x - 8\\)
\\(x^2 + 6x + 8\\)
\\(x^2 + 8x + 6\\)
\\(2x^2 + 6x + 8\\)

Explanation:

Set up the area formula

Using the Modeling Word Problems knowledge point, we represent the area of a rectangle as the product of its length and its width:

$$ \text{Area} = \text{length} \times \text{width} $$

Given:

$$
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$$

Thus, the area expression is:

$$ \text{Area} = (x + 4)(x + 2) $$

Multiply the binomials

Using the Multiplying Polynomials knowledge point

$$
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$$

Answer:

• (A) \(x^2 + 6x - 8\)
• (B) \(x^2 + 6x + 8\) (Correct answer)
• (C) \(x^2 + 8x + 6\)
• (D) \(2x^2 + 6x + 8\)