3A Review-Operations with Polynomials

Front

What is the result of multiplying (x - 5)(x + 1)?

Back

x² - 4x - 5

Front

What is the result of squaring the binomial (x - 5)?

Back

x² - 10x + 25

Front

What is the remainder when dividing 3x⁴ - 4x³ - 3x - 1 by x - 1?

Back

-5

Front

What is the result of multiplying (x + 2)(x + 3)?

Back

x² + 5x + 6

Front

What is the sum of the polynomials (-3x + 4) + (8x - 5)?

Back

5x - 1

Front

Define a polynomial.

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the degree of the polynomial 4x³ - 2x + 7?

Back

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

Front

What is the leading coefficient of the polynomial 5x² - 3x + 2?

Back

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

Front

What is the result of adding the polynomials (2x² + 3x) + (4x² - x)?

Back

6x² + 2x

Front

What is the result of subtracting the polynomial (x² + 2x) - (3x² - x)?

Back

-2x² + 3x