# How do you use the remainder theorem to find the remainder for the division #(3t^3-10t^2+t-5)div(t-4)#?

##### 3 Answers

The remainder is 31.

#### Explanation:

Remainder Theorem :

When we divide a polynomial

So to find the remainder after dividing by

In this case,

The remainder is 31.

#### Explanation:

Note that the dividend is equal to the divisor times the quotient plus the remainder.

Let Q equal the quotient and R the remainder.

Notice that when

Let's try

That is the answer!

#### Explanation:

#"the remainder when "f(x)" is divided by "(x-a)" is "f(a)#

#3(4)^3-10(4)^2+4-5=31larrcolor(blue)"remainder"#