Factor the trinomials x^2-7+10, x^2-3-10, x^2 + 3x - 10, 6x^2+11x + 4
To factor these trinomials, we want to find two binomials that multiply together to give the trinomial. Let's factor each one individually:
1) x^2 - 7x + 10:
The binomials that can multiply to give (x^2 - 7x + 10) are (x - 5)(x - 2). Therefore, the factored form of the trinomial is (x - 5)(x - 2).
2) x^2 - 3x - 10:
The binomials that can multiply to give (x^2 - 3x - 10) are (x + 2)(x - 5). Therefore, the factored form of the trinomial is (x + 2)(x - 5).
3) x^2 + 3x - 10:
The binomials that can multiply to give (x^2 + 3x - 10) are (x + 5)(x - 2). Therefore, the factored form of the trinomial is (x + 5)(x - 2).
4) 6x^2 + 11x + 4:
The binomials that can multiply to give (6x^2 + 11x + 4) are (2x + 1)(3x + 4). Therefore, the factored form of the trinomial is (2x + 1)(3x + 4).