Question

unit 7 review assignment
topic 2: simplifying polynomials

1. (7x³ + 2x² - x - 4) - (4x³ - 3x² + 8)

Explanation:

Step1: Distribute the negative sign

To simplify the expression \((7x^{3}+2x^{2}-x - 4)-(4x^{3}-3x^{2}+8)\), we first distribute the negative sign to each term in the second polynomial. This gives us \(7x^{3}+2x^{2}-x - 4-4x^{3}+3x^{2}-8\).

Step2: Combine like terms

• For the \(x^{3}\) terms: \(7x^{3}-4x^{3}=3x^{3}\)
• For the \(x^{2}\) terms: \(2x^{2}+3x^{2}=5x^{2}\)
• For the \(x\) terms: We have only \(-x\)
• For the constant terms: \(-4-8=-12\)

Putting it all together, we get \(3x^{3}+5x^{2}-x - 12\).

Answer:

\(3x^{3}+5x^{2}-x - 12\)