MINI LESSON
Operations with Polynomials
To add or subtract polynomials, combine like terms.
Like terms have the same variables raised to the same powers.
To multiply expressions, use the distributive property.
Always write the final answer in standard form when possible.
Question 1
The expression \(-2(x^2 - 2x + 1) + (3x^2 + 3x - 5)\) is equivalent to
Question 2
Which expression is equivalent to \((5x^2 - 2x + 4) - (3x^2 + 3x - 1)\)?
Question 3
The expression \((-3x^2 + 9) - (7x^2 - 5x + 4)\) is equivalent to
Question 4
Which expression is equivalent to \(3(x^2 - 2x + 3) - (4x^2 + 3x - 1)\)?
Question 5
When \(6x^3 - 2x + 8\) is subtracted from \(5x^3 + 3x - 4\), the result is