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

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

Back

y = (x - 1)(x - 5)

Front

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

Back

y = (x - 2)(x + 4)

Front

Find the zeros of the function y = x(x - 4).

Back

The zeros are x = 0 and x = 4.

Front

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

Back

y = (4x - 2)(x + 2)

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 evaluates to 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 y = a(x - r1)(x - r2), where r1 and r2 are the zeros.

Front

If a polynomial has a zero at x = c, what does this imply about the polynomial?

Back

It implies that (x - c) is a factor of the polynomial.

Front

What is the relationship between the degree of a polynomial and the number of zeros it can have?

Back

A polynomial of degree n can have at most n zeros.