Answer:
[tex]-(3x+2)(x+1)[/tex]
Step-by-step explanation:
Lets factor the trinomial [tex]-3x^2-5x-2[/tex] step-by-step:
Step 1. Since all the terms are negative, we can factor -1 out
[tex]-3x^2-5x-2=-1(3x^2+5x+2)[/tex]
Step 2. Split the middle term of [tex]3x^2+5x+2[/tex]
[tex]5x=3x+2x[/tex], so [tex]3^2+5x+2=3x^{2} +3x+2x+2[/tex]
Step 3. Group common terms
[tex](3x^2+2x)+(3x+2)[/tex]
Step 4. Factor each parentheses
[tex]x(3x+2)+(3x+2)[/tex]
Step 5. Factor the common binomial
[tex](3x+2)(x+1)[/tex]
Now, we can put it all together:
[tex]-3x^2-5x-2=-(3x+2)(x+1)[/tex]
