what is the expression in factored form

Question

X^2+13X+42
SHOW ALL YOUR STEPS

Answer 1

Step 1: This quadratic equation is in the form of ax^2 + bx + c, where a = 1, b = 13, and c = 42.

Step 2: To factor the quadratic equation, we need to find two numbers that multiply to give 'c' (42) and add to give 'b' (13).

Step 3: Determine the two numbers. In this case, they are 6 and 7 because 6 * 7 equals 42 and 6 + 7 equals 13.

Step 4: Now we rewrite the given equation as (x + 6)(x + 7).

So, the factored form of the equation x^2 + 13x + 42 is (x + 6)(x + 7).