which of the following is a factor of x² - 10x + 24? x - 4 x + 4 x + 6 x - 2
which of the following is a factor of x² - 10x + 24? x - 4 x + 4 x + 6 x - 2
Answer
Answer:
A. $x - 4$
Explanation:
Step1: Factor the quadratic expression
We need to factor $x^{2}-10x + 24$. We look for two numbers that multiply to $24$ and add up to $- 10$. The numbers are $-4$ and $-6$. So, $x^{2}-10x + 24=(x - 4)(x - 6)$.
Step2: Identify the factor
From the factored form $(x - 4)(x - 6)$, we can see that $x - 4$ is one of the factors. So the answer is $x - 4$.