Factor the trinomial 3x^2+10x+3
To factor the trinomial 3x^2 + 10x + 3, we look for two binomials that, when multiplied together, give us the original trinomial.
The first terms of the binomials will be (3x )(x ).
The last terms will be (1)(3) or (3)(1).
We can then have four different possibilities for the middle terms:
- (3x + 1)(x + 3)
- (3x - 1)(x - 3)
- (x + 1)(3x + 3)
- (x - 1)(3x - 3)
After simplifying each of these possibilities, we find that the correct factorization is:
(3x + 1)(x + 3)