What is the expression in factored form?
2x2+16x+24
Whats the answer
The expression 2x^2 + 16x + 24 cannot be factored any further since there are no common factors that can be extracted.
To find the expression in factored form, we need to factor the quadratic equation 2x^2 + 16x + 24.
Step 1: Find the common factor, if any.
The coefficients 2, 16, and 24 have a common factor of 2. Factoring them out gives:
2(x^2 + 8x + 12)
Step 2: Factor the quadratic trinomial inside the parentheses.
The quadratic trinomial x^2 + 8x + 12 can be factored as (x + 2)(x + 6).
Putting everything together, the expression in factored form is:
2(x + 2)(x + 6)
To find the expression in factored form, we need to factorize the quadratic equation 2x^2 + 16x + 24.
Step 1: Look for a common factor, if any. In this case, all three terms have a common factor of 2:
2(x^2 + 8x + 12)
Step 2: Since the coefficient of x^2 is 1 (which is already factored), we need to find two numbers that multiply to give the constant term (12) and add up to give the coefficient of x (8). In this case, the numbers are 2 and 6:
2(x + 2)(x + 6)
So, the expression in factored form is 2(x + 2)(x + 6).