SOLUTION: Determine the x-intercepts of the graph of P. For each x-intercept, use the Even and Odd Powers of (x − c) Theorem to determine whether the graph of P crosses the x-axis or i

Question 1201436: Determine the x-intercepts of the graph of P. For each x-intercept, use the Even and Odd Powers of
(x − c)
Theorem to determine whether the graph of P crosses the x-axis or intersects but does not cross the x-axis. (Separate multiple ordered pairs with commas.)
P(x) = (8x − 1)5(x − 1)13
(smaller x value)
(x, y) =

(larger x value)
(x, y) =

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

NOTE for future reference: Use "^" (shift-6)to denote an exponent: "((8x-1)^5)((x-1)^13" instead of "(8x − 1)5(x − 1)13"

The graph of a polynomial will cross the x-axis if the power of a root is odd; it will only touch the x-axis if the power is even.

The two roots in your example are x = 1/8 and x = 1; the powers of both roots are odd, so the graph will cross the x-axis at each root.

Smaller x-intercept: (1/8,0)
Larger x-intercept: (1,0)

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