Answer :
Answer:
Quotient = a²+ 4a- 2
Step-by-step explanation:
(8a3+31a2-20a-5)/(8a-1)
=
a² +4a-2 ⇒ quotient
(8a-1)√(8a3+31a2-20a-5)
8a²- a² ⇒ Multiplying (8a-1) by a²
- + ⇒ Changing signs
32a²- 20a- 5
32a²- 4a ⇒ Multiplying (8a-1) by 4a
- + ⇒Changing signs
-16a -5
- 16a +2 ⇒ Multiplying (8a-1) by -2
+ - ⇒ Changing signs
-7 ⇒ Remainder
We follow the steps of simple division to get the quotient which is a²+ 4a- 2
We multiply (8a-1) by factors such as a², +4a and -2 to get the same terms as given in the dividend.