Question

Find the remainder when 6x^3+13x^2+2 is divided by 3x+2​

Answer 1

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.