3A Review-Operations with Polynomials

Front

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

Back

x² + 5x + 6

Front

Simplify the expression: -3x²(7x² - x + 4)

Back

-21x⁴ + 3x³ - 12x²

Front

When dividing x⁶ + 4x³ + 2 using synthetic division, how many 0's are needed in the top row?

Back

4

Front

What is the result of multiplying (3x - 6)(7x + 7)?

Back

21x² - 21x - 42

Front

Find the product of (x - 5)².

Back

x² - 10x + 25

Front

What is the definition of 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 4x⁴ + 3x² - 2?

Back

4 (the highest exponent of x).

Front

What is the process of combining like terms in a polynomial?

Back

Adding or subtracting coefficients of terms that have the same variable and exponent.

Front

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

Back

x² - 1 (difference of squares).

Front

What is the formula for the square of a binomial (a + b)²?

Back

a² + 2ab + b².