For the polynomial function, one zero is given. Find all the others. f(x)=4xcubed+6xsqd-2x-1;1/2

Question

whpalmer4 · Answer

$$f(x) = 4x^3+6x^2-2x-1$$We know that one zero is at $x = 1/2$

Because a polynomial with $n$ roots (in other words, one where the highest exponent is $n$) can be written as a product $(x-r_1)(x-r_2)...(x-r_n)$ we can divide the polynomial by $(x-1/2)$ to get a simpler polynomial to find the remaining roots.

whpalmer4 · Answer

if you subtract $4x^2(x-1/2)$ from the polynomial, what do you have left?  Can you factor that?

anonymous · Answer

thank you