What is the expression in factored form? Explained
x^2 + 13x + 42
To factorize the expression x^2 + 13x + 42, we are looking for two binomials (expressions with two terms) that multiply together to give us the given expression.
We need to find two numbers that add up to 13 (the coefficient of the middle term, 13x) and multiply together to give us 42 (the constant term, 42).
The possible pairs of numbers that multiply to give 42 are: 1 x 42, 2 x 21, 3 x 14, and 6 x 7.
However, we are looking for two numbers that add up to 13. Out of the above pairs, only 6 and 7 add up to 13.
So, we can rewrite the expression as: (x + 6)(x + 7)
Therefore, the expression x^2 + 13x + 42 in factored form is (x + 6)(x + 7).