QuestionAugust 24, 2025

Use the FOIL method to find the product below. (x+5)(x^2-3x) A. x^3+5x^2-15x B. x^3+5x^2-15 C. x^3+2x^2-15 D. x^3+2x^2-15x

Use the FOIL method to find the product below. (x+5)(x^2-3x) A. x^3+5x^2-15x B. x^3+5x^2-15 C. x^3+2x^2-15 D. x^3+2x^2-15x
Use the FOIL method to find the product below. (x+5)(x^2-3x) A. x^3+5x^2-15x B. x^3+5x^2-15 C. x^3+2x^2-15 D. x^3+2x^2-15x

Solution
4.1(142 votes)

Answer

A. x^{3}+5x^{2}-15x Explanation 1. Apply FOIL Method Multiply First terms: x \cdot x^2 = x^3. Multiply Outer terms: x \cdot (-3x) = -3x^2. Multiply Inner terms: 5 \cdot x^2 = 5x^2. Multiply Last terms: 5 \cdot (-3x) = -15x. 2. Combine Like Terms Combine -3x^2 and 5x^2: x^3 + (5x^2 - 3x^2) - 15x = x^3 + 2x^2 - 15x.

Explanation

1. Apply FOIL Method<br /> Multiply First terms: $x \cdot x^2 = x^3$.<br /> Multiply Outer terms: $x \cdot (-3x) = -3x^2$.<br /> Multiply Inner terms: $5 \cdot x^2 = 5x^2$.<br /> Multiply Last terms: $5 \cdot (-3x) = -15x$.<br /><br />2. Combine Like Terms<br /> Combine $-3x^2$ and $5x^2$: $x^3 + (5x^2 - 3x^2) - 15x = x^3 + 2x^2 - 15x$.
Click to rate:

Similar Questions