Factoring Polynomials Flashcard 12/2/24

Front

Factor: x² + 7x + 12

Back

(x + 3)(x + 4)

Front

Factor: 7r³ - 8r² + 42r - 48

Back

(r² + 6)(7r - 8)

Front

Factor: 5x² - 28x + 32

Back

(5x - 8)(x - 4)

Front

Factor: 4b⁵ + 4b³ + 16b²

Back

4b²(b³ + b + 4)

Front

Which is the other factor of 6x² + 25x - 9? (3x - 1)( )

Back

(2x + 9)

Front

What is the first step in factoring a polynomial?

Back

Look for a common factor in all terms.

Front

Define a polynomial.

Back

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

Front

What is the degree of the polynomial 4x³ + 3x² - 2?

Back

3 (the highest exponent of x)

Front

What does it mean to factor a polynomial?

Back

To express it as a product of its factors.

Front

What is the difference of squares formula?

Back

a² - b² = (a - b)(a + b)