Perform the indicated division
2x^2-7x-13/x-5
http://www.purplemath.com/modules/polydiv2.htm
To perform division of polynomials, we can use the long division method. Follow the steps below to divide the polynomial (2x^2 - 7x - 13) by (x - 5):
Step 1: Divide the first term of the dividend (2x^2) by the first term of the divisor (x). The result is 2x, which is the quotient's first term.
2x
Step 2: Multiply the divisor (x - 5) by the quotient's first term (2x). Write the resulting polynomial (2x^2 - 10x) beneath the dividend.
_______________________
x - 5 | 2x^2 - 7x - 13
- (2x^2 - 10x)
______________
3x - 13
Step 3: Subtract the polynomial obtained from the previous step (2x^2 - 10x) from the dividend (2x^2 - 7x - 13). Write the result (3x - 13) below the line created by subtraction.
_______________________
x - 5 | 2x^2 - 7x - 13
- (2x^2 - 10x)
_______________
3x - 13
Step 4: Since the degree of the new dividend (3x - 13) is less than the degree of the divisor (x - 5), we have our final result.
Therefore, the division of (2x^2 - 7x - 13) by (x - 5) equals the quotient 2x with a remainder of (3x - 13).
Result: (2x) + (3x - 13)/(x - 5)