Long Division C2

Long Division

Polynomial by binomial

Poll

How do you divide?

Solution step by step

Step 1: Arrange the polynomial dividend and binomial divisor in descending order of degree.

Step 2: Divide the dividend's first term by the divisor's first term. This gives the first term of the quotient.

Step 3: Multiply the entire divisor by the first term of the quotient.

Step 4: Subtract the product obtained in Step 3 from the dividend.

Step 5: Bring down the next term of the dividend.

Step 6: Repeat steps 2 to 5 until all terms of the dividend have been processed.

Step 7: The resulting terms form the quotient, while any remaining terms constitute the remainder.

Example

Let's Divide

3x³ +5x²+2x / x+2

Multiple Choice

Solve using long division. $$\left(x^2+2x\ -\ 63\right)\div\left(x+9\right)$$  

• $$x-7$$  

• $$x^2-7$$  

• $$x+7$$  

• $$x^2+3x-54$$  

Multiple Choice

What is the remainder when you divide $$\left(2x^3-5x-7\right)\ by\ \left(x+2\right)$$  ?

• -9

• 11

• -13

• -1