Concept explainers
To classify the polynomial as prime polynomial, difference of squares or perfect square trinomial.
Answer to Problem 11SGR
Difference of squares
Explanation of Solution
Given:
Polynomial:
Concept used:
Prime polynomial:
A polynomial with integer coefficients that cannot be reduced to a polynomial of a lower degree is a prime polynomial
Difference of squares:
A polynomial is called difference of squares when each term is a perfect square.
Difference of squares is of the form
Perfect square trinomial:
A perfect square trinomial is a polynomial with three terms which can be created by multiplying a binomial to itself.
Perfect square trinomial is of the form
Calculation:
Consider the given polynomial,
On closely examining the polynomial,
The polynomial is of the form
Thus, it can be written as
Conclusion:
Thus, the given polynomial is classified as difference of squares.
Chapter 8 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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