factor 𝑥(𝑥^2+4𝑥−12)
To factor the expression 𝑥(𝑥^2+4𝑥−12), we can first look for common factors. In this case, 𝑥 is a common factor. So we can factor 𝑥(𝑥^2+4𝑥−12) as 𝑥(𝑥+_____)(𝑥+_____).
To find the missing values, we can look for a pair of numbers that multiply to form -12 and add up to 4. In this case, the pair of numbers is 6 and -2.
Therefore, the factored form of 𝑥(𝑥^2+4𝑥−12) is 𝑥(𝑥+6)(𝑥-2).