Unit 15 Polynomial Operations

Front

What is the result of (5x^4)^3?

Back

125x^12

Front

What is the result of 2x^3(x^2−2x−3)?

Back

2x^5−4x^4−6x^3

Front

What is the sum of (m^3-2m^2+7m-5) and (6m^2-4m+9)?

Back

m^3+4m^2+3m+4

Front

Find the product of (2x+3)^2.

Back

4x^2+12x+9

Front

What is the result of (3n-4)^2?

Back

9n^2-24n+16

Front

Define a polynomial.

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the degree of the polynomial 4x^3 + 2x^2 - x + 7?

Back

The degree is 3, which is the highest exponent of the variable.

Front

What is the leading coefficient of the polynomial 5x^4 - 3x^2 + 2?

Back

The leading coefficient is 5, which is the coefficient of the term with the highest degree.

Front

What is the result of multiplying two polynomials?

Back

The result is a new polynomial formed by distributing each term of the first polynomial to each term of the second polynomial.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a polynomial with only one term, while a polynomial can have multiple terms.