Question

Consider the expression 7x^2 + 12x - 4. Select two correct expressions that are factors of the expression. A) (7x-2)B) (x+2) C) (7x+2) D) ( x -2) E) (3x-4) F) (4x-1) G) (4x+1)H) (x - 4)

Answer 1

The given expression is a quadratic expression. We would simplify by applying the factorisation method. We would determine two numbers whos sum or difference is 12 and whose product is - 28. These numbers are 14 and - 2. It becomes

`\begin{gathered} 7x^2+12x-4 \\ 7x^2+14x-2x-4 \\ 7x(x+2)-2(x+2) \\ (7x-2)(x+2) \end{gathered}`

The correct options are

A) (7x - 2)

B) ((x + 2)