Mathematics

Mathematics

Problem

Let T(x)=2x3−7x2+x+10T(x)=2x^{3}-7x^{2}+x+10. a. (i) Verify by substitution that x=2x=2 is a zero of T(x)T(x). b. (ii) Using the result from part (i), factorise T(x)T(x) completely. c. (iii) Hence find all the zeros of T(x)T(x). d. (iv) State the corresponding xx-intercepts of the graph of y=T(x)y=T(x).

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