factor EACH TRINOMIAL
x^2 - 12x + 32
x^2 +13x +42
To factor each trinomial, we need to find two numbers that multiply to the constant term and add up to the coefficient of the middle term.
1. For x^2 - 12x + 32:
- The constant term is 32, and the coefficient of the middle term is -12.
- The two numbers that multiply to 32 and add up to -12 are -4 and -8.
- So, we can rewrite the trinomial as:
x^2 - 12x + 32 = (x - 4)(x - 8)
2. For x^2 + 13x + 42:
- The constant term is 42, and the coefficient of the middle term is 13.
- The two numbers that multiply to 42 and add up to 13 are 6 and 7.
- So, we can rewrite the trinomial as:
x^2 + 13x + 42 = (x + 6)(x + 7)