Let p(x)=x^3+2x^2+kx+3
On dividing p(x) by x-3, the remainder is 21. Therefore,
P(3)=21
Substituting x=3 in p(x)
P(3)=3^3 +2*(3)^2+k*3+3
=27+18+3k+3
=48+3k
We know that, p(3)=21.
So, 48+3k=21
3k=21-48
3k=-27
k=-27/3 =-9
now, p(x) =x^3+2x^2-9x-18
-2 is a factor of p(x) on inspection. Therefore, divide p(x) by x+2 to find the
zeroes of the polynomial.
On dividing, we get the factors to be, (x^2-9)(x+2)
(x^2-3^2)(x+2)
Factorizing using the identity a^2-b^2=(a+b)(a-b) we get,
(x+3)(x-3)(x+2)
Therefore, the zeroes of the polynomials are -3,+3 and -2.
I converted everything into decimals and went from there.
First solve x^8/x^2 = x^6
Second solve 2160/60 = 36
The answer is 6x^3
Hope this helps.
- Max.
Nothing because you can’t gain anything from 0
Answer:
A pet store was selling 4 lizards for $47.88. If they ended up selling 6 lizards, how much money would they have earned?
4 lizards= $47.88
6 lizards= ?
using cross multiply, then we have
47.88 x 6/4= $71.82
$71.82 would be earned when they sell 6 lizards
Step-by-step explanation: