Question

on dividing (a³-4a²+a+6) by (a+1)

Answer 1

Answer:

a² - 5a + 6

Explanation:

(a³-4a²+a+6) ÷ (a+1)

Here we use the polynomial long division method.

Step 1:  Write the polynomial  in descending order.

Step 2:  Divide the term with the highest power inside the division symbol by the term with the highest power outside the division symbol.

In this question , we have a³ divided by a which is a².

a³ ÷ a = a²

Step 3: Multiply the answer obtained in the previous step by the polynomial in front of the division symbol.

In this case, we need to multiply a² and a + 1.

a² (a+1) = a³ + a²

Step 4: Subtract and bring down the next term.

Step 5: Repeat step 2.

So, final answer is :

a² - 5a + 6