a.
To Explain: The sum of two polynomials is always a polynomial
a.
Answer to Problem 48PPE
Yes
Explanation of Solution
Introduction: Polynomial is an algebraic expression with mathematical operators such as addition, subtraction, multiplication or division. Polynomials are of different types such as monomial, binomial and trinomial.
If we add two polynomials, we always get a new polynomial. That is when we combine the like term we get a new result as a polynomial. Firstly arrange the given two polynomials in the standard form, and then start adding the like terms. In this way we see that the sum of two polynomials forms a polynomial.
b.
To explain: The difference of two polynomials is always a polynomial
b.
Answer to Problem 48PPE
True
Explanation of Solution
Introduction: Polynomial is an algebraic expression with mathematical operators such as addition, subtraction, multiplication or division. Polynomials are of different types such as monomial, binomial and trinomial.
If we take difference of two polynomials, we always get a new polynomial. That is when we combine the like term we get a new result as a polynomial. Firstly arrange the given two polynomials in the standard form, and then start subtracting the like terms. In this way we see that the subtraction of two polynomials forms a polynomial.
Chapter 8 Solutions
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