Explain how to divide a polynomial by a monomial when each contain exponents

Question

 i need to know this for a study guide question . im totally lost in math 

 

Answer 1

Roughly, to divide a polynomial by a monomial; you have to divide each part of the polynomial by the monomial.

 

For example, for (2x² + 4x) ÷ 2x; we do 2x² ÷ 2x = x and then 4x ÷ 2x = 2. All together, we get x + 2.

Here's another example, (24x⁵ + 9x³ - 6x²) ÷ 3x² can be solved by doing 24x⁵ ÷ 3x² = 8x³, 9x³ ÷ 3x² = 3x, and 6x² ÷ 3x² = 2. All together, we have 8x³ + 3x - 2. Our answer has the same addition and subtraction signs because they don't change when we divide.