EXAMPLE 5 Find the zeros of quadratic functions. Find the zeros of the function by rewriting the function in intercept form. a. y = x 2 – x – 12 b. y =

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EXAMPLE 5 Find the zeros of quadratic functions. Find the zeros of the function by rewriting the function in intercept form. a. y = x 2 – x – 12 b. y = x x + 36 SOLUTION a. y = x 2 – x – 12 Write original function. = (x + 3) (x – 4) Factor. The zeros of the function are –3 and 4. Check Graph y = x 2 – x – 12. The graph passes through (–3, 0) and (4, 0).

EXAMPLE 5 Find the zeros of quadratic functions. Find the zeros of the function by rewriting the function in intercept form. a. y = x 2 – x – 12 b. y = x x + 36 SOLUTION b. y = x x + 36 Write original function. = (x + 6) (x + 6) Factor. The zeros of the function is – 6 Check Graph y = x x The graph passes through ( – 6, 0).

GUIDED PRACTICE for Example GUIDED PRACTICE for Example 5 Find the zeros of the function by rewriting the function in intercept form. 10. y = x 2 + 5x – 14 SOLUTION y = x 2 + 5x – 14 Write original function. = (x + 7) (x – 2) Factor. The zeros of the function is – 7 and 2 Check Graph y = x 2 + 5x – 14. The graph passes through ( – 7, 0) and (2, 0).

GUIDED PRACTICE for Example GUIDED PRACTICE for Example y = x 2 – 7x – 30 SOLUTION y = x 2 – 7x – 30 Write original function. = (x + 3) (x – 10) Factor. The zeros of the function is – 3 and 10 Check Graph y = x 2 – 7x – 30. The graph passes through ( – 3, 0) and (10, 0).

GUIDED PRACTICE for Example GUIDED PRACTICE for Example f(x) = x 2 – 10x + 25 SOLUTION f(x) = x 2 – 10x + 25 Write original function. = (x – 5) (x – 5) Factor. The zeros of the function is 5 Check Graph f(x) = x 2 – 10x The graph passes through ( 5, 0).