Question

What is the remainder when (2x3 + 4x2 − 32x + 18) ÷ (x − 3)?

Answer 1

use the remainder theorem

if\[ P(x) = 2x^3 +4x^2 -32x + 18\]

and the divisor is (x - 3)

the remainder can be found by calculating P(3)

Answer 2

i got 2x2+10x

Answer 3

calculator is lying ;)

Answer 4

not quite the remainder

\[P(3) = 2(3)^3 + 4(3)^2 - 32(3) + 18\]

what's the value...?

Answer 5

54+36-96+18

Answer 6

the answer you posted is part of the quotient

you don't need to do the division

is x - 3 is the divisor the value that makes it equal to zero, that is x = 3

can be substituted into the polynomial to find the remainder

Answer 7

that's great so what is the value... ?

Answer 8

12

Answer 9

is the remainder

Answer 10

The remainder is \[\frac{ 12 }{ x-3 }\]

Answer 11

Thanks<3

Answer 12

that's how I would write the remainder 12