Find the remainder when 6x^3+13x^2+2 is divided by 3x+2
Answers
Answered by
2
Step-by-step explanation:
ANSWER
f(x)=12x
3
−13x
2
−5x+7
When f(x) is divided by (3x+2) the remainder is f(−
3
2
). Now,
f(−
3
2
)=12(−
3
2
)
3
−13(−
3
2
)
2
−5(−
3
2
)+7
=12(−
27
8
)−13(
9
4
)+
3
10
+7
−
9
32
−
9
52
+
3
10
+7=
9
9
=1
∴ The remainder is 1.
Similar questions