Question

What is the remainder when x 3 - 7x - 6 is divided by the linear factor x - 4?

Answer 1

Have you considered Synthetic Division?

Answer 2

@Luigi0210 @Jaynator495 @AloneS @Awolflover1 @.Sam. @narissa

Answer 3

can you explain what that is to me? @tkhunny

Answer 4

Don't tag the world. Show your work, instead.

Answer 5

You've never seen Synthetic Division?

Answer 6

no i havent

Answer 7

i got -4x-6 over x-4

Answer 8

but we are looking for the remainder @karleighxxvictoria

Answer 9

If you want, long division is an option.

Answer 10

ohhhh I see nevermind i was wrong!

Answer 11

1) Start by writing down the coefficients of ALL the powers of x. Include those that are zero. 1 0 -7 -6 in this case.
2) Pull down the first number and just keep multiplying by the value from the factor. We have "x-4", so use 4.

Answer 12

The values in the bottom come from the SUM of the two values directly above.
The values in the middle come from multiplying each value from the bottom, in order, by the value on the left.

Anyway, that's one way to do it.

Answer 13

oh okay cool thx

Answer 14

But what does that tell us?

Answer 15

Again, just read the coefficients

\(\dfrac{x^{3} - 7x - 6}{x-4} = x^{2} + 4x + 9 + \dfrac{30}{x-4}\)

What is the "Remainder" that you seek?