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A day full of math games & activities. Find one near you.

# What are the x- and y-intercepts of the graph of y = x^{2} +3x-10?

**Solution:**

It is given that

y = x^{2} + 3x -10

The x intercept can be found by considering y value as 0

x^{2} + 3x -10 = 0

x^{2} - 2x + 5x - 10 = 0

Taking the common terms out. we get

x (x - 2) + 5 (x - 2) = 0

(x - 2) (x + 5) = 0

So we get

x = 2 and x = -5

The y intercept can be found by considering x value as 0

y = 0^{2} +3(0)-10

y = - 10

Therefore, the x intercepts are (2, 0) and (-5, 0) and the y-intercepts are (0, -10).

## What are the x- and y-intercepts of the graph of y = x^{2} +3x-10?

**Summary:**

The x- and y-intercepts of the graph of y = x^{2} + 3x -10 are (2, 0), (-5, 0) and (0, -10).

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