Table of Contents

## How do you find the x and y intercepts of a polynomial function?

At this point, the x-coordinate is zero.

- To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.
- To find the x-intercept, set y = 0 \displaystyle y=0 y=0.
- To find the y-intercept, set x = 0 \displaystyle x=0 x=0.

**How do you find the x intercepts of a factored polynomial?**

How To: Given a polynomial function f, find the x-intercepts by factoring.

- Set f(x)=0 f ( x ) = 0 .
- If the polynomial function is not given in factored form: Factor out any common monomial factors. Factor any factorable binomials or trinomials.
- Set each factor equal to zero and solve to find the x- intercepts.

### How do you find the y-intercept of a polynomial in factored form?

- Step 1: Find the y -intercept of the polynomial f(x) by evaluating f(0) . The y -intercept is the point (0,f(0)) ( 0 , f ( 0 ) ) .
- Step 2: Find the x -intercept(s), if they exist, of the polynomial f(x) by solving f(x)=0 f ( x ) = 0 for x .
- The x -intercepts are (1,0) and (−1,0) .

**What are the steps in solving problems involving polynomials and polynomial equations?**

Get zero on one side. Factor the trinomial. Use the Zero Product Property. Solve each equation.

## How do you find the y intercept of a polynomial?

Step 1: Replace every x in the polynomial with 0. y- Intercept: A y -intercept of a function is the point where the graph of the function touches or crosses the y -axis. The y -intercept always has an x -coordinate of 0, so it can be found by substituting x = 0 into the function.

**What are x intercepts and y intercepts?**

The x-intercepts are points where the graph of a function or an equation crosses or “touches” the x-axis of the Cartesian Plane. You may think of this as a point with y-value of zero. x x. \\left ( {x,0} \\right) (x,0). The y-intercepts are points where the graph of a function or an equation crosses or “touches” the y-axis of the Cartesian Plane.

### How do you write x intercepts on a graph?

The graph crosses the x-axis at x= 1 and x= 3, therefore, we can write the x-intercepts as points (1,0) and (–3, 0). Similarly, the graph crosses the y-axis at y=3.

**How to find the X-and y-intercepts of an equation?**

To determine the x- intercept, we set y equal to zero and solve for x. Similarly, to determine the y- intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation \\displaystyle y=3x – 1 y = 3x − 1.