PLS HELP ASAP!! One factor of the function f(x) = x3 − 8x2 + 17x − 10 is (x − 5). Describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technology. Show your work and include all intercepts in your answer.

Our x-intercepts are at:

Our y-intercept is (0, -10).

Step-by-step explanation:

We have the function:

And we know that one factor is:

Since we know one factor, we can use synthetic division to find the depressed polynomial, then continue factoring to find the remaining zeros (x-intercepts).

To find the y-intercept, we can simply substitute 0 for x and evaluate. This can be done anytime.

We can apply synthetic division for a polynomial P(x) divided by a binomial in the form (x-a).

Since our factor is (x-5), a=5.

Please refer to the attachment below for the synthetic division.

So, we are left with:

The remaining factor is now a quadratic. This can be easily factored:

To find our zeros, set our function f(x) to 0:

Then by the Zero Product Property:

Hence, our x-intercepts are:

To find our y-intercept, we can substitute 0 for x and evaluate. Hence:

Evaluate:

So, our y-intercept is at (0, -10).

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.

c) the median for town a 30" is greater than the median for town b 25"

step-by-step explanation:

town a, median = q2 = 30

town b, median - q2 = 25

so the median for town a 30" is greater than the median for town b 25"