Question

Find the quotient of -8s⁵ -2s⁴ -14s³+4s² divided by 2s²

Answer 1

To find the quotient of -8s⁵ -2s⁴ -14s³+4s² divided by 2s², divide each term by 2s² to get -4s³ - s² - 7s + 2.

Step-by-step explanation:

To find the quotient of -8s⁵ -2s⁴ -14s³+4s² divided by 2s², we divide each term by 2s².

1. -8s⁵ divided by 2s² equals -4s³, since we subtract the exponents (-5 - 2 = -7) and divide the coefficients (-8 ÷ 2 = -4).
2. -2s⁴ divided by 2s² equals -s², since we subtract the exponents (-4 - 2 = -6) and divide the coefficients (-2 ÷ 2 = -1).
3. -14s³ divided by 2s² equals -7s, since we subtract the exponents (-3 - 2 = -5) and divide the coefficients (-14 ÷ 2 = -7).
4. 4s² divided by 2s² equals 2, since we subtract the exponents (2 - 2 = 0) and divide the coefficients (4 ÷ 2 = 2).

Therefore, the quotient of -8s⁵ -2s⁴ -14s³+4s² divided by 2s² is -4s³ - s² - 7s + 2.