To find the expression in factored form, we need to factor the quadratic trinomial x^2 + 13x + 42.
First, we look for two numbers that multiply to give the constant term (42) and add up to give the coefficient of the middle term (13).
The factors of 42 are 1 and 42, 2 and 21, 3 and 14, and 6 and 7. Among these factors, the pair 6 and 7 add up to give 13.
So, we can rewrite the quadratic trinomial as:
(x + 6)(x + 7)
Therefore, the expression in factored form is (x + 6)(x + 7).
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What is the expression in factored form?
x2+13x+42
1 answer