11.27 Polynomial Arithmetic

Front

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

Back

The result is x² - y².

Front

What is the quotient of (x³ + 7x² + 9x - 9) divided by (x + 3)?

Back

The quotient is x² + 4x - 3.

Front

Multiply (3x + 2)(4x - 5).

Back

The result is 12x² - 7x - 10.

Front

Multiply (5x - 3)(2x + 7).

Back

The result is 10x² + 29x - 21.

Front

What does the Remainder Theorem state?

Back

The Remainder Theorem states that the remainder of the division of a polynomial p(x) by (x - c) is p(c).

Front

How do you apply the Remainder Theorem to find the remainder of p(x) = x³ + 7x² + 10x - 15 when divided by x + 4?

Back

Evaluate p(-4) to find the remainder.

Front

Back

Front

What is the product of (a + b)(a - b)?

Back

The product is a² - b².

Front

What is the result of multiplying (2x + 3)(3x - 4)?

Back

The result is 6x² - 5x - 12.

Front

What is the formula for polynomial long division?

Back

Divide the leading term, multiply, subtract, and repeat until the degree of the remainder is less than the divisor.