Question

Find the remainder of (h^4 + h^2 – 2) ÷ (h + 3)

Answer 1

P(x) = (x-c) Q(x) + R(x)

for what value of x can we determine the value of R(x)?

Answer 2

hint: (h+3) <= use synthetic division

Answer 3

Uh what? I know to use synthetic division, thats the unit im studying. I hate division. See

Answer 4

what you have is similar to:

P(x)/(x-c) = Q(x) + R(x)/(x-c)

this is simply how we turn an improper fraction into a mixed numeral: 12/5 = 2 + 2/5

right?

if we multiply thru by (x-c) we get:

P(x) = (x-c) Q(x) + R(x)

the remainder will be known when (x-c) Q(x) = 0

Answer 5

Continue the explanation please.

Answer 6

let x=c

P(c) = (c-c) Q(c) + R(c)

P(c) = 0 + R(c)

in other words, the remainder is the value of the top portion, when the bottom portion goes to 0

Answer 7

if the top and bottom go to zero, then we would also know that they have a common factor ... but that is not your question at the moment

Answer 8

No it is not

Answer 9

what is the value of the top, when (h+3) = 0 ?

Answer 10

Top?

Answer 11

\[a\div b\implies\frac ab\]

Answer 12

H?