Concept explainers
To classify the polynomial as prime polynomial, difference of squares or perfect square trinomial.
Answer to Problem 13SGR
Prime polynomial
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,
The given polynomial cannot be reduced to a polynomial of a lower degree.
Hence, it is a prime polynomial.
Conclusion:
Thus, the given polynomial is classified as prime polynomial.
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