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: $f(x) = (2x+1)(2x+3)$

Step-by-step 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.