Question

The factor for x^2+3x+4 are x+2 and x+3. (True or false)

Answer 1

Multiply the binomials (x+2) and (x+3) to find if they are the factors for x^2+3x+4:

`\begin{gathered} (x+2)(x+3)=x\cdot(x+3)+2(x+3) \\ =x^2+3x+2x+6 \\ =x^2+5x+6 \end{gathered}`

Notice that (x+2)(x+3) are not the factors of x^2+3x+4.

Therefore, the answer is:

`\text{False}`