Find all the Zeros

Question

Find all the zeros of the polynomial, including any real or imaginary zeros. (synthetic division, etc.)

f(x)=x^3-2x^2-7x-4

g(x)=2x^3-5x^2-6x+4

h(x)=x^4-2x^2-16x-15

f(x)=x^4+x^3-11x^2+9x-180

Answer 1

I'll get you started.

Use the Rational Root Theorem, where possible roots are ±p/q where p is the constant and q is the leading coefficient.

for f(x), -1 is a zero so divide by x+1

for g(x), 1/2 is a zero so divide by x-(1/2)

for h(x), 3 is a zero so divide by x-3

when you divide you get x^3+3x^2+7x+5 which has -1 as a zero, continue from here...

for f(x) on the bottom, 4 is a zero, so divide by x-4

when you divide by x-4 you get x^3+5x^2+9x+45 which has -5 as a zero,continue from here