10.15 Alg 2 Polynomial Division

10.15 Alg 2 Polynomial Division

When Should I Use Long Division

• This method must be used if the DIVISOR IS NOT A LINEAR BINOMIAL

• It works for any type of division problem

• However, it's usually easier to use SYNTHETIC DIVISION IF THE DIVISOR IS A LINEAR BINOMIAL

Multiple Choice

Why did we have a remainder for the last problem?

• Because we did it wrong

• Because the divisor is not a factor of the dividend

• Because the divisor is a factor of the dividend

• Because there was a placeholder

Multiple Select

Which is not a step when doing synthetic division?

• Write down the coefficients of the dividend

• Insert a dummy term (placeholder if necessary)

• Change the sign of the constant in the divisor

• Divide, multiply, subtract

Multiple Select

SELECT ALL THAT APPLY:

When dividing using either method, if there is no remainder, then...

• The divisor is a factor of the dividend

• The factor and the quotient are factors of the polynomial

• We made a mistake

• The dividend is a perfect square