Dividing Polynomials: Long Division Techniques

Subtract the polynomials

Add the polynomials

Multiply the polynomials

Identify the dividend and divisor

9x - 36

4x^2 - 9x + 9

4x^3 - 17x^2 + 13x - 41

X - 4

Ignore them

Insert a placeholder with zero as the coefficient

Add a new term

Multiply the terms

4

4x

4x^3

4x^2

4x^2 + 16x

4x^3 - 16x^2

4x^3 + 16x^2

4x^2 - 16x

Bring down the next term

Add the terms

Divide the terms

Multiply the terms

-1x

-x

1x

x

-x^2 + 4x

x^2 - 4x

x^2 + 4x

-x^2 - 4x

4x^2 - x + 9

4x^2 + x + 9

4x^2 - 9x + 9

4x^2 - x - 9

No, because the divisor is not a factor

Yes, because the quotient is a polynomial

No, because the remainder is not zero

Yes, because the remainder is zero