1. Find the zeroes of
polynomial 4t + 8t.
STEP BY STEP???
Answers
Answer:
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Step-by-step explanation:
HOW TO: GIVEN A POLYNOMIAL FUNCTION \DISPLAYSTYLE FF, USE SYNTHETIC DIVISION TO FIND ITS ZEROS.
1. Use the Rational Zero Theorem to list all possible rational zeros of the function.
2. Use synthetic division to evaluate a given possible zero by synthetically dividing the candidate into the polynomial. If the remainder is 0, the candidate is a zero. If the remainder is not zero, discard the candidate.
3. Repeat step two using the quotient found with synthetic division. If possible, continue until the quotient is a quadratic.
4. Find the zeros of the quadratic function. Two possible methods for solving quadratics are factoring and using the quadratic formula.
Look at the graph of the function f in Figure 1. Notice, at \displaystyle x=-0.5x=−0.5, the graph bounces off the x-axis, indicating the even multiplicity (2,4,6…) for the zero –0.5. At \displaystyle x=1x=1, the graph crosses the x-axis, indicating the odd multiplicity (1,3,5…) for the zero \displaystyle x=1x=1.
