Question

Find the quotient and remainder. 2x³+x²-8x+15 / x²+2x-1

Answer 1

To find the quotient and remainder of the division, use polynomial long division.

Step-by-step explanation:

To find the quotient and remainder of the division, we can use polynomial long division. Here's how:

1. Divide the first term of the numerator (2x³) by the first term of the denominator (x²). The quotient is 2x.
2. Multiply the entire denominator (x²+2x-1) by the quotient found in step 1 (2x) and subtract it from the numerator (2x³+x²-8x+15).
3. Write down the remainder obtained from the subtraction in step 2.

Therefore, the quotient is 2x and the remainder is (3x²-12x+14).