Question

Factor the trinomial: 3x2 + 11x + 6
A. (3x + 2)(x + 3)
B. (3x + 3)(x + 2)
C. (3x + 1)(x + 6)
D. (3x + 6)(x + 1)

Answer 1

When you say "3x2" do you mean to say 3x^2?

Answer 2

yes sorry @Pax

Answer 3

Then I think the answer is (3x+2)(x+3)

Answer 4

A

Answer 5

I love factoring! Hold on let me solve this

Answer 6

yeah A

Answer 7

(3x + 2) • (x + 3)

Answer 8

i'm so happy you love factoring @Aureyliant you are my new est friend haha

Answer 9

2.1 Factoring 3x2+11x+6

The first term is, 3x2 its coefficient is 3 .
The middle term is, +11x its coefficient is 11 .
The last term, "the constant", is +6

Step-1 : Multiply the coefficient of the first term by the constant 3 • 6 = 18

Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is 11 .

-18 + -1 = -19
-9 + -2 = -11
-6 + -3 = -9
-3 + -6 = -9
-2 + -9 = -11
-1 + -18 = -19
1 + 18 = 19
2 + 9 = 11 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 2 and 9
3x2 + 2x + 9x + 6

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (3x+2)
Add up the last 2 terms, pulling out common factors :
3 • (3x+2)
Step-5 : Add up the four terms of step 4 :
(x+3) • (3x+2)
Which is the desired factorization

Final result :

(3x + 2) • (x + 3)

Answer 10

Besties!! @cassiesilva0628

Answer 11

Need anymore help? :)