Consider the polynomial p(x)=3x2−5x+2.
a. (i) Calculate p(x) for each x in {−2,−1,0,1,2} and complete the following table.
x \; : \; −2 \; −1 \; 0 \; 1 \; 2p(x) : \; _____ \; _____ \; _____ \; _____ \; _____
b. (ii) From your results in part (i), identify all integer values of x among the given set for which p(x)=0. Explain your choice briefly.
c. (iii) Verify the value(s) you obtained in part (ii) by direct substitution in p(x). State your conclusion clearly.