SOLUTION: Please help I really need to know the method for this one,but not using long division..Thank you so much: P(x)=9x^3+12x^2+hx+k. When you divide by 3x-1, 2=remainder. When you di

Question 1049759: Please help I really need to know the method for this one,but not using long division..Thank you so much:
P(x)=9x^3+12x^2+hx+k. When you divide by 3x-1, 2=remainder. When you divide by x+2, -5= remainder. Find h and k.
Please help,thank you!!
Answer by advanced_Learner(501) (Show Source): You can put this solution on YOUR website!
P(x)=9x^3+12x^2+hx+k. at x=1/3

2=9(1/3)^3+12(1/3)^2+h(1/3)+k.
2=9(1/27)+12(1/9)+h(1/3)+k.
2=(1/3)+(4/3)+(h/3)+k.
6=(1)+(4)+(h)+3k.
=
at x=-2
-5=9(-2)^3+12(-2)^2+h(-2)+k.
-5=-72+12(4)-2h+k.
-5=-72+(48)-2h+k.
-5=(-24)-2h+k.
=
solve
=
=

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
We'll use substitution. After moving 3*k to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that k=3. Since , h=-8.

Answer: .

RELATED QUESTIONS
Solve using long division, then check. (-30+6y(3)-28y+y(2)) Divided by (2y-5) I... (answered by stanbon)

Hello. I have the following polynomial to simplify using long division. {{{... (answered by stanbon,Alan3354)

I need help with this Quadratic Equation: Solve using the square root property:... (answered by stanbon)

Please I need help on: The Functions f(x)=x+2 , g(x)=-3x Calculating this... (answered by stanbon,jim_thompson5910)

SOLVE THE SYSTEM USING THE GAUSS-JORDAN METHOD PROBLEM: x-3y= 3 2x-5y= 4 (answered by stanbon)

Please help with this question. I understand how to do polynomial long division but I am... (answered by stanbon)

x^3+8x^2+x-42 / x+3 Divide using long division or synthetic division Please Help me... (answered by Mathtut)

√(9x^5y) / √(12x^2y^6) - Please solve this, I really need your help. And... (answered by stanbon)

Solve by the elimination method. 9x-9y=18 7y-3x=-8 -3x+7y=-8 9x-9y=18 -3x+7y=-8... (answered by rfer)