Multiplying special case polynomials

Front

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

Back

(a + b)^2 = a^2 + 2ab + b^2

Front

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

Back

(a - b)^2 = a^2 - 2ab + b^2

Front

What is the formula for the product of the sum and difference of two terms (a + b)(a - b)?

Back

(a + b)(a - b) = a^2 - b^2

Front

How do you expand (x - 4)(x - 4)?

Back

Use the formula for (a - b)^2: (x - 4)(x - 4) = x^2 - 8x + 16.

Front

How do you expand (x - 6)^2?

Back

Use the formula for (a - b)^2: (x - 6)^2 = x^2 - 12x + 36.

Front

How do you expand (3x + 4)^2?

Back

Use the formula for (a + b)^2: (3x + 4)^2 = 9x^2 + 24x + 16.

Front

How do you expand (x + 8)^2?

Back

Use the formula for (a + b)^2: (x + 8)^2 = x^2 + 16x + 64.

Front

How do you expand (5x - 1)(5x + 1)?

Back

Use the formula for (a + b)(a - b): (5x - 1)(5x + 1) = 25x^2 - 1.

Front

What is the significance of the coefficients in polynomial expansion?

Back

Coefficients determine the magnitude of each term in the polynomial and affect the shape of the graph.

Front

What is a polynomial?

Back

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