9514 1404 393
Answer:
-2x +4
Step-by-step explanation:
We can write the polynomial p(x) in terms of the factors (x+2) and (x-3) as ...
p(x) = (x+2)(x-3)q(x) +ax +b
Where ax+b is the remainder from division by x^2 -x -6 = (x+2)(x-3). The values of 'a' and 'b' can be found from ...
p(-2) = 8 = -2a +b
p(3) = -2 = 3a +b
Subtracting the first equation from the second gives ...
(3a +b) -(-2a +b) = (-2) -(8)
5a = -10
a = -2
Then the first equation tells us ...
8 = -2(-2) +b
4 = b
So, the remainder from division by (x^2 -x -6) is (-2x +4).
Answer:
19
Step-by-step explanation:
If c=5...
4+3c
=4+3(5)
=4+15
=19
the answer is 10.
place your index fingers on the 4 & the 9 then move in toward the 10 the number in the middle is 10.
Answer:
Step-by-step explanation:
Answer:
x^4 -2x^2 -24
Step-by-step explanation:
(x^2+4)(x^2−6)
FOIL
First: x^2*x^2 = x^4
Outer: x^2 *-6 = -6x^2
Inner: x^2 *4 = 4x^2
Last: 4*-6 = -24
Add them together
x^4 -6x^2 +4x^2 -24
Combine like terms
x^4 -2x^2 -24
This is in standard form since the powers decrease