Question
factor EACH TRINOMIAL
x^2 - 12x + 32
x^2 +13x +42
x^2 - 12x + 32
x^2 +13x +42
Answers
GPT 3.5
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)
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)