Find the zeros of the polynomial function. #19

label Algebra
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Find the zeros of the polynomial function.

 f(x) = x3 + x2 - 42x


Mar 17th, 2015

zeros of the function are where the value of function is zero.

f(x)=0

 x3 + x2 - 42x=0

x (x2+x-42)=0

Hence, x=0 or x2+x-42=0

now, x2-x-42=0

x2-7x+6x-6*7=0

x(x-7)+6(x-7)=0, thus (x+6)(x-7)=0

so, x= -6 or x=7


Hence the zeros of the function are at x=0, -6, 7

Mar 17th, 2015

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