Question

Which of the following is equivalent to the expression? 22 - 2x - 3 Select one: 1) (x - 1)(x + 3) 2) (x - 2)(x - 1)3) (x + 1)(x - 3) 4) (2-2)(x + 1)

Answer 1

`(x+1)(x-3)`

Step-by-step explanation

`x^2-2x-3`

Step 1

we have a expression in the form.

`x^2-2x-3\Rightarrow wx^2+yx+z`

we need two a and b numbers such as

`\begin{gathered} a+b=-2 \\ a\cdot b=-3 \\ \text{then a}\Rightarrow1,\text{ b}\Rightarrow-3 \\ 1-3=-2 \\ 1\cdot-3=-3 \end{gathered}`

now, we can factorize

`\begin{gathered} x^2-2x-3=\mleft(x+a\mright)\mleft(x+b\mright) \\ x^2-2x-3=\mleft(x+1\mright)\mleft(x-3\mright) \end{gathered}`

I hope this helps you