a) The missing terms for the given polynomial p,q,r, and

Bobrovnik61j

Bobrovnik61j

Answered question

2022-03-03

a) The missing terms for the given polynomial p,q,r, and s such that q0 and s0,pqrs=?.
b) The missing terms given polynomial p,q,r, and s such that q0,r0 and s0,pq÷rs=?.

Answer & Explanation

Ollie Castillo

Ollie Castillo

Beginner2022-03-04Added 5 answers

a) Concept used:
Polynomials can be multiplied by applying the distributive property of multiplication over addition and then combining the like terms. The resulting expression is a polynomial of degree equal to sum of the degrees of the two polynomials.
Calculation:
Consider two rational functions f(x)=pq and g(x)=rs, such that the polynomials q and s are not zero, then the product f(x)g(x) will be a rational function defined by pqrs. Thus, for polynomials p,q,r, and s such that q0 and s0,pqrs=prqs.
Conclusion: The polynomials p,q,r and s such that q0 and s0,pqrs=prqs.
chung001vba

chung001vba

Beginner2022-03-05Added 6 answers

b) Calculation:
The arithmetic operation division is inverse of the arithmetic operation multiplication.
pq÷rs=pqsr
If p,q,r, and s are well defined polynomials, then the above result is true for polynomials.
Answer:
For polynomial p,q,r, and s such that q0,r0 and s0,pq÷rs=psqt.

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