Finding Zeros from Factored Form

Front

What are the zeros of the function y = (2x - 5)(x + 2)?

Back

The zeros are x = 5/2 and x = -2.

Front

What are the zeros of the function y = 3(x - 4)(x + 3)?

Back

The zeros are x = 4 and x = -3.

Front

Select the equation that has zeros at the points (1/2, 0) and (-2, 0).

Back

The equation is y = (4x - 2)(x + 2).

Front

Select the equation that has zeros at the points (1, 0) and (5, 0).

Back

The equation is y = (x - 1)(x - 5).

Front

Select the equation that has zeros at the points (2, 0) and (-4, 0).

Back

The equation is y = (x - 2)(x + 4).

Front

What is the definition of a zero of a function?

Back

A zero of a function is a value of x for which the function equals zero.

Front

How do you find the zeros of a polynomial in factored form?

Back

Set each factor equal to zero and solve for x.

Front

What is the factored form of a quadratic equation?

Back

The factored form is expressed as y = a(x - r1)(x - r2), where r1 and r2 are the zeros.

Front

If y = (x - 3)(x + 1), what are the zeros?

Back

The zeros are x = 3 and x = -1.

Front

What is the significance of the zeros of a function in graphing?

Back

The zeros represent the x-intercepts of the graph.