WILL MARK BRAINLIEST - One factor of the function f(x)=x^3-8x^2+17x-10 is (x-5). Describe how to find the x-intercepts and y-intercept of the graph of f(x) without using technology. Show your work and include all intercepts in your answer.

x-intercepts (5,0), (2,0), (1,0)

y-intercept (0,-10)

Step-by-step explanation: If one factor of the polynomial function is (x-5), then the function f(x) can be factored in the following way: (x-5) (x^2-3x+2)

Now factor the trinomial: (x-2) (x-1)

Thus, x-intercepts (points where f(x)=0) are

x1=5

x2=2

x3=1

and y-intercept (point where x=0) is

f(0)=0^3-8.0^2+17.0-10=-10.

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step-by-step explanation: