Question

Rewrite the rational expression x^3+5x^2+3x-10/x+4 in the form q(x) + r(x)/b(x)

Answer 1

To rewrite the rational expression x^3+5x^2+3x-10/x+4 in the form q(x) + r(x)/b(x), we can use polynomial division.

Step-by-step explanation:

To rewrite the rational expression x^3+5x^2+3x-10/x+4 in the form q(x) + r(x)/b(x), we can use polynomial division. Here are the steps:

1. Divide x^3+5x^2+3x-10 by x+4 using polynomial division.
2. Write the quotient obtained as q(x) and the remainder obtained as r(x).
3. The denominator b(x) is the divisor, which is x+4.

Therefore, the rational expression x^3+5x^2+3x-10/x+4 can be rewritten as q(x) + r(x)/b(x), where:

• q(x) is the quotient obtained from polynomial division.
• r(x) is the remainder obtained from polynomial division.
• b(x) is the divisor, which is x+4.

Answer 2

I hope this helps you