Question

rewrite the quadratic function in the form that best reveals the zeros of the function f(x)=2(2x^2+4x)+3

Answer 1

Answer:
`f(x) = (2x+1)(2x+3)`

Explanation:

Since, the given function,

`f(x)=2(2x^2+4x)+3`

⇒
`f(x)=4x^2+8x+3`

⇒
`f(x)=4x^2+6x+2x+3`

⇒
`f(x)=2x(2x+3)+1(2x+3)`

⇒
`f(x)=(2x+1)(2x+3)`

Since, this form of f(x) reveals the zeros of f(x).

Therefore, this is the required form.