Long Division Synthetic Division Remainder Theorem Can only divide by x-a.

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Presentation transcript:

Long Division Synthetic Division Remainder Theorem Can only divide by x-a

Long Division: Divide Factor x2x2 Subtract by adding the opposite x x Is 3/2 a root? Yes because there was no remainder!

Long Division: Divide Factor x Subtract by adding the opposite -5x x Is -4 a root? No because there was a remainder!

Synthetic Division: Divide Root Is -3 a root? Yes because there was no remainder!

Synthetic Division: Divide Root Is -1 a root? No because there was a remainder!

Remainder Theorem Find f(-4) Notice f(-4) = the remainder above!!!!!

Remainder Theorem Find P(-1) You can find P(-1) using synth div or substitution

Factor Now If you can’t factor then QF or compl the square! Not factorable Divide by -1 using synthetic division Multiply Add To Notes!

You can’t factor so QF or complete the square! Not factorable Divide by 1 using synthetic division Multiply Add To Notes!