Question

4. A forma fatorada da função f(x) = 2x + 2x-1, é: a) f(x) = (3/2) 2x
b) f(x) = (2/3) 2x
c) f(x) = (3/4) 2x
d) f(x) = (4/3) 2x
e) f(x) = (5/4)2x​

Answer 1

$\boxed{\begin{array}{l}\rm ax^2+bx+c=a\cdot\bigg[\bigg(x+\dfrac{b}{2a}\bigg)^2-\dfrac{\Delta}{4a^2}\bigg]\\\\\rm f(x)=2x^2+2x-1\\\rm\Delta=b^2-4ac\\\rm\Delta=2^2-4\cdot2\cdot(-1)\\\rm\Delta=4+8\\\rm\Delta=12\\\\\rm f(x)=2\cdot\bigg[\bigg(x+\dfrac{1}{2}\bigg)^2-\dfrac{3}{4}\bigg]\end{array}}$