Question

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

Answer 1

\[f(x) = 4x^3+6x^2-2x-1\]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.

Answer 2

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

Answer 3

thank you