Question

how do you factor x2+12x+35

Answer 1

seven and five add to 12, muliply to 35

Answer 2

1645

Answer 3

[AI-generated answer — Explain Bot]

To factor the quadratic expression x^2 + 12x + 35, we need to find two binomials that, when multiplied, give us the original expression.

Step 1: Look at the coefficient of x^2. In this case, it is 1, so the factored expression in the form (x + ?)(x + ?) where the two question marks represent the unknown terms of the binomials.

Step 2: Look at the constant term. In this case, the constant term is 35. We need to find two numbers that multiply to give 35 and add up to the coefficient of x, which is 12.

Step 3: Find the factors of 35. The factors of 35 are (1, 35) and (5, 7).

Step 4: Check if any of the factor pairs add up to 12. In this case, (5, 7) adds up to give 12.

Step 5: Now we can write the factored expression as (x + 5)(x + 7).

Therefore, the factored form of x^2 + 12x + 35 is (x + 5)(x + 7).