To find the expression in factored form, we need to factorize the given quadratic equation.
The given equation is: x^2 + 13x + 42
To factorize the quadratic equation, we need to find two binomials in the form (x + a)(x + b) that when expanded, give us the given equation.
To find the values of 'a' and 'b', we look for two numbers whose product is equal to the product of the coefficient of x^2 (which is 1) and the constant term (which is 42), and whose sum is equal to the coefficient of x (which is 13).
The numbers that satisfy these conditions are 6 and 7.
Therefore, we can rewrite the equation as: x^2 + 13x + 42 = (x + 6)(x + 7)
So, the expression in factored form is (x + 6)(x + 7).
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What is the expression in factored form?
x^2+13x+42
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