How Do You Do Long Division With Polynomials?

Our two polynomials cannot be simplified so we go ahead with long division
We got the first term of our quotient, x, by dividing the first term of our dividend by the first term in our divisor
We got the second term of our quotient, -7, by dividing the first term of our partial dividend by the first term in our divisor

1. 2x²-11x-20 divided by 2x-3 is a rational expression
1. 2x²-11x-20 is the dividend
2. 2x+3 is the divisor
1. 2x²-11x-20 is the dividend
2. 2x+3 is the divisor
3. The quotient is our answer
1. 2x² is the first term of 2x²-11x-20
2. 2x is the first term of 2x+3
1. We got this by dividing the first term of our dividend by the first term in our divisor
1. The product is the result of multiplication
2. So we're going to multiply x by 2x+3 and then subtract that product from 2x²-11x-20
1. When we multiply x and 2x+3 together we have to distribute
2. x times 2x is 2x²
3. x times 3 is equal to 3x
1. The first term of the partial dividend is -14x
2. The first term in our divisor is 2x
1. When we multiply -7 and 2x+3 together we have to distribute
2. -7 times 2x is equal to -14x
3. -7 times 3 is equal to -21
1. Since we are subtracting -14x-21 we have to switch its signs
2. So -14x becomes 14x, and -21 becomes 21
1. -20+21 = 1

Divide 2x2-11x-20 by 2x-3