Bellwork
Divide using long division:
243 3 Notes 4‐3: Synthetic Division
Use Synthetic Division to simplify:
3x3 - 17x2 + 15x - 25 ÷ x - 5
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Dividend:
Divisor:
4x3 + 8x2 - 9x - 18
-x3 + 75x - 250
Quotient:
x+3
x + 10
Synthetic Division can also be used to find the value of a function at a given point. This is called the Remainder Theorem.
Use Synthetic Division to find the required function value:
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f(x) = x ­ 4x + 3x + 2
f(2)=
f(­2)=
2
You can use Synthetic Division and the Rational Root Theorem to find the roots of a function.
f(x) = x3 - 7x + 6
Use Synthetic Division to find all the real zeros, then sketch a graph of the function.
f(x) = 2x3 - 15x2 + 27x - 10
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Assignment 4­3
Worksheet
4­3
Only 13 problems!!!
Please remember to show all your work!
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