A polynomial multiple by a polynomial is always a polynomial. The given statement is true.
Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
When two polynomials are multiplied by each other, then each term of the first polynomial is multiplied by each term of the second polynomial.
The result is always a polynomial, regardless of what the coefficients might be of any of the terms, including the leading coefficients.
Thus, A polynomial multiples by a polynomial is always a polynomial.
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