Example

Title: Dividing polynomials

Grade: 8-a Lesson: S1-L3

Explanation: The best way to understand algebra is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

Divide the polynomial \$ 5y^2 + 10y + 5 \$ by \$ y + 1 \$.

Step 1a

1

Explanation:

  • To divide \$5y^2+10y+5\$ by y + 1, first divide \$5y^2\$ by y, which equals 5y. Write it on the top line.

  • Multiply y + 1 by 5y, which equals \$5y^2+5y\$. Write it below the dividend.

  • Subtract \$5y^2+5y\$ from \$5y^2+10y+5\$, getting 5y. Bring down 5 and repeat the process.

  • Divide 5y by y, which equals 5. Write it next to the previous quotient term.

  • Multiply y + 1 by 5, which equals 5y + 5. Write it below the previous product. Subtract 5y + 5 from 5y, getting 0.

  • The quotient is 5y + 5, which is the result of dividing \$5y^2+10y+5\$ by y + 1 with no remainder.


Copyright © 2020-2022 saibook.us Contact: info@saibook.us Version: 1.5 Built: 19-April-2024 09:20AM EST