Answer:
5. (5x + 2)(x + 3)
6. Prime
Explanation:
Given the below the quadratic equation;
[tex]5x^2+17x+6[/tex]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.
[tex]\begin{gathered} 5x^2+15x+2x+6 \\ =5x(x+3)+2(x+3)_{} \\ =(5x+2)(x+3) \end{gathered}[/tex]Let's go ahead and factor the 2nd equation;
[tex]2x^2+5x-12[/tex]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.
