Finding x-intercepts & Multiplying Binomials

Front

What is the x-intercept of a function?

Back

The x-intercept of a function is the point(s) where the graph of the function crosses the x-axis, meaning the value of y is zero.

Front

How do you find the x-intercept of a quadratic in factored form?

Back

To find the x-intercept of a quadratic in factored form, set each factor equal to zero and solve for x.

Front

What is the result of multiplying the binomials (x + a)(x + b)?

Back

The result is x^2 + (a + b)x + ab.

Front

What is the result of multiplying the binomials (x - a)(x - b)?

Back

The result is x^2 - (a + b)x + ab.

Front

What is the square of a binomial (x - a)^2?

Back

The result is x^2 - 2ax + a^2.

Front

What is the formula for the product of two binomials (x + a)(x - a)?

Back

The result is x^2 - a^2, known as the difference of squares.

Front

How do you expand the expression (x + 7)(x - 2)?

Back

Use the distributive property (FOIL): x^2 - 2x + 7x - 14 = x^2 + 5x - 14.

Front

What is the expanded form of (x - 7)^2?

Back

The expanded form is x^2 - 14x + 49.

Front

What are the x-intercepts of the quadratic (x + 5)(x - 4)?

Back

The x-intercepts are x = -5 and x = 4.

Front

What are the x-intercepts of the quadratic (x - 5)(x + 1)?

Back

The x-intercepts are x = 5 and x = -1.