Mathematics

Problem

Let

P(x)=2x^{3}-5x^{2}-4x+3

. a. (i) Evaluate

P(3)

P(-1)

and

P\bigl(\tfrac12\bigr)

, showing all steps. b. (ii) From your calculations in part (i), identify which of the numbers

3

-1

and

\dfrac12

are zeros of

P(x)

. c. (iii) How many distinct

x

-intercepts does the graph of

y=P(x)

have at the values checked above? State them clearly.