Answer:
On dividing, we found that the quotient is (x-4) and the remainder is equal to 0.
Step-by-step explanation:
We need to find the quotient and the remainder for the following (x²-10x+24)÷(x+6).
The numerator is (x²-10x+24) and the denominator is (x+6). It can be written as :
[tex]\dfrac{x^2-10x+24}{x+6}=\dfrac{(x-4)(x-6)}{(x+6)}\\\\=(x-4)[/tex]
On dividing, we found that the quotient is (x-4) and the remainder is equal to 0.
