Asked by CheezyReezy
List all possible (or potential) rational zeros for the polynomial below. Find all real zeros of the polynomial below and factor completely over the real numbers. Please show all of your work.
f(x) = x^4 - 7x^3 - 3x^2 + 19x + 14
f(x) = x^4 - 7x^3 - 3x^2 + 19x + 14
Answers
Answered by
Mgraph
Potential rational zeros are:
+-1,+-2,+-7,+-14
f(-1)=1+7-3-19+14=0
f(x)=(x+1)g(x), g(x)=x^3-8x^2+5x+14
g(-1)=-1-8-5+14=0
g(x)=(x+1)h(x),
f(x)=(x+1)^2*h(x), h(x)=x^2-9x+14
h(2)=4-18+14=0
h(x)=(x-2)(x-7)
f(x)=(x-2)(x-7)(x+1)^2
+-1,+-2,+-7,+-14
f(-1)=1+7-3-19+14=0
f(x)=(x+1)g(x), g(x)=x^3-8x^2+5x+14
g(-1)=-1-8-5+14=0
g(x)=(x+1)h(x),
f(x)=(x+1)^2*h(x), h(x)=x^2-9x+14
h(2)=4-18+14=0
h(x)=(x-2)(x-7)
f(x)=(x-2)(x-7)(x+1)^2
Answered by
bill
UNDEFINED!
Answered by
Mar
2x^5+9x^3+3x^2-6
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