SOLUTION: 1)degree 3 with a zero 2(of multiplicity 3) such that f(3)=-4 2) degree 3 with a zeros -2(of multiplicity 2) and -4 such that f(-5)=10 3) degree 4 with zeros 1 and 3 (of multipli

Question 916520: 1)degree 3 with a zero 2(of multiplicity 3) such that f(3)=-4
2) degree 3 with a zeros -2(of multiplicity 2) and -4 such that f(-5)=10
3) degree 4 with zeros 1 and 3 (of multiplicity 3) such that f(5)=16
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
1. y = a(x-2)^3 P(3,-4)
-4 = a (1)^3
y = -4(x-2)^3
...
2. y = a(x+2)^2(x+4) P(-5,10)
10 = a(-3)^2(-1)
10/-9 = a
y = -10/9(x+2)^2(x+4)
...
3.y = a(x-1)(x-3)^3 P(5,16)
16= a(4)(2)^3
16/32 = a
y = (1/2)(x-1)(x-3)^3
RELATED QUESTIONS
Find a polynomial function with leading coefficient 1 that has the given zeros,... (answered by greenestamps)

Find a polynomial function with leading coefficient 1 that has the given zeros,... (answered by Alan3354)

Please help me ...Find a polynomial of degree 4 with -2 as a zero of multiplicity 2 and 0 (answered by Edwin McCravy)

Find a polynomial of degree 4 with -2 as a zero of multiplicity 2 and 0 and 3 as zeros of (answered by lwsshak3)

how do you find a polynomial of degree 4 with -2 as a zero of multiplicity 2 and 0 and 3... (answered by Edwin McCravy)

Form a polynomial of degree 3 whose zeros are -5 with multiplicity 2 and 4 with... (answered by ewatrrr)

Find a polynomial of degree 4 with 3 as a zero of multiplicity 2 and �4 and 6 as zeros of (answered by stanbon)

find a polynomial of degree 4 with 1 as a zero of multiplicity 2&-3 &5 as zero of... (answered by greenestamps)

Find a polynomial of degree 4 with -3 as a zero of multiplicity 2 and 0 and 6 as zeros of (answered by josgarithmetic)