Find the x and y Intercepts y=6x^4+8x^3

Problem

y=6*x4+8*x3

Solution

1. Find the y-intercept by setting x=0 and solving for y

y=6*(0)4+8*(0)3

y=0

2. Find the x-intercepts by setting y=0 and solving for x

0=6*x4+8*x3

3. Factor out the greatest common factor from the right side of the equation.

0=2*x3*(3*x+4)

4. Apply the zero product property by setting each factor equal to zero.

2*x3=0

3*x+4=0

5. Solve for x in each resulting equation.

x=0

3*x=−4

x=−4/3

Final Answer

x-intercepts: *(0,0),(−4/3,0); y-intercept: *(0,0)

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