(a)
To List:
The possible rational zeroes of the polynomial
Given:
The polynomial.
Concepts Used:
The Rational Zeroes Theorem: A polynomial of degree
Calculations:
For the given polynomial
Factors of
Conclusion:
The possible rational zeroes of the polynomial
(b)
To Calculate:
Factor the polynomial
Given:
The polynomial.
Known from previous part:
The possible rational zeroes of the polynomial
Concepts Used:
Factor Theorem. If
Synthetic division of polynomials.
Splitting the linear term to factorize quadratic polynomials.
Calculations:
Check the possible rational zeroes
By synthetic division, check if the possible zero
The last result is not zero. Thus
By synthetic division, check if the possible zero
The last result is zero. Thus
Factorize the polynomial further by splitting the linear term of the quadratic polynomial:
Conclusion:
The completely factorized expression for the polynomial
Chapter 2 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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