Question

You are asked to use the grouping method to factorx² − 14x + 33. How should the term - 14x berewritten?O 3x + 11xO-3x - 11xO -1x - 33xO 1x +33x

Answer 1

Given the Quadratic Polynomial:

`x^2-14x+33`

You need to factor it using the Grouping Method.

You can identify that it has this form:

`ax^2+bx+c`

Notice that, in this case:

`\begin{gathered} a=1 \\ b=-14 \\ c=33 \end{gathered}`

In order to rewrite it in a form that then you can apply the Grouping Method, you need to find two numbers whose product is the value of "c" and whose sum is the value of "b".

Notice that:

`\begin{gathered} (-3)(-11)=33 \\ -3-11=-14 \end{gathered}`

Therefore, you can set up that:

`-14x=-3x-11x`

Hence, the answer is: Second option.