obtain all zeros of polynomials xcube-9xsqure-12x+20 if 1 zero is -2
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Answered by
1
p(x)=x^3-9x^2-12x+20
x=-2
g(x)=x+2
x+2)x^3-9x^2-12x+20(x^2-11x+10
- +x^3+2x^2
- -
-------------------------------------
-11x^2-12x+20
- -11x^2-22x
+ +
--------------------------------------
10x+20
- 10x+20
- -
---------------------------------------
0.
q(x)=x^2-11x+10
q(x)=x^2-10x-x+10
q(x)=x(x-10)-1(x-10)
(x-10)(x-1)
x=10,x=1.
x=-2
g(x)=x+2
x+2)x^3-9x^2-12x+20(x^2-11x+10
- +x^3+2x^2
- -
-------------------------------------
-11x^2-12x+20
- -11x^2-22x
+ +
--------------------------------------
10x+20
- 10x+20
- -
---------------------------------------
0.
q(x)=x^2-11x+10
q(x)=x^2-10x-x+10
q(x)=x(x-10)-1(x-10)
(x-10)(x-1)
x=10,x=1.
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0
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