Question

Asked Nov 9, 2019

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Factor the polynomial function f(x). Then solve the equation f(x)=0.

f(x)= x^{3}+10x^{2}+19x-30

Step 1

For x=1 , f(1)=0 so x=1 is a zero of the function f(x)

Step 2

Apply synthetic division to find the other factor.

Coefficients of x^3+10x^2+19x-30 is 1,10,19,-30. Divide it by x=1

Quotient = x^2+11x+30

So, f(x)=(x-1)(x^2+11x+30 )

Step 3

Then find the factors of (x^2+11x+30 ).

x^2+11x+30=(...

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