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wha are the zeros of f(x)=x^3+8x^2+17x+10? a: -2,1,5 b: 2,-1,-5 c: -2,1,-5 D:-2,-1,-5
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\[x^3+8x^2+17x+10=x^3+x^2+7x^2+7x+10x+10 \\ =x^2(x+1)+7x(x+1)+10(x+1) \\ =(x+1)(x2+7x+10)=(x+1)(x+2)(x+5) \]
so D is the right answer
can u help me with some others?
factoring is a commen way to solve equations like this
what polynomial has roots of -5,-2 and 4? a: x^3-x^2-22x+40 b:x^3+x^2-22x-40 c:x^3+3x^2-18x-40 d:x^3-3x2-18x+40
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we can write (x+5)(x+2)(x-4)=0
is that right?
am i clear?
\[(x+5)(x+2)(x-4)=(x^2+7x+10)(x-4) \\ = x^3+7x^2+10x-4x^2-28x-40 \\ =x^3+3x^2-18x-40\]
C is the right one
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THANK YOU
your welcome
d is the answer
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