Question

Match each trinomial of the left with its correct factored form

Answer 1

Given the equation in the image in the question tab, we can get our answer using the following steps:

Step 1: We factorise the trinomial equation on the left side:

`\begin{gathered} 2x^3-2x^2-60x \\ \text{Factor out the common terms}; \\ 2x(x^2-x-30) \\ \text{We solve the quadratic equation in the bracket by factorising;} \\ x^2-x-30=(x+5)(x-6) \end{gathered}`

Factors of the first trinomial are 2x, (x+5) and (x-6)

Equation 2: