Question

Factor each trinomial. if the trinomial cannot be factored, write, prime.5) 5x^2+17x+66) 2x^2+5x-12

Answer 1

5. (5x + 2)(x + 3)

6. Prime

Step-by-step explanation:

Given the below the quadratic equation;

`5x^2+17x+6`

Let's go-ahead and factor the above.

1st step: Multiply 5 and 6 and then find two factors of 30 that the sum will be 17. The numbers are 15 and 2.

`\begin{gathered} 5x^2+15x+2x+6 \\ =5x(x+3)+2(x+3)_{} \\ =(5x+2)(x+3) \end{gathered}`

Let's go ahead and factor the 2nd equation;

`2x^2+5x-12​`

To factor the above, we'll need to multiply 2 and -12 and then find two factors of -24 that the sum will be 5.

Unfortunately, there are no two factors of -24 that will add up to 5.