if alpha and beta are the zeros of quadratic polynomial x ^2 - 5 x + 1 find the value of alpha^3+beta^3
sandybaghel:
What dose ^this means
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x^2+5x+6=0
or,x^2+2x+3x+6=0
or,x(x+2)+3(x+2)=0
or,(x+2)(x+3)=0
either
x=-2 (1st root be alpha)
or
x=-3 (2nd be beta)
So,alpha+beta +alpha*beta=-2–3+6=1
or,x^2+2x+3x+6=0
or,x(x+2)+3(x+2)=0
or,(x+2)(x+3)=0
either
x=-2 (1st root be alpha)
or
x=-3 (2nd be beta)
So,alpha+beta +alpha*beta=-2–3+6=1
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