A quadratic polynomial of the form x2+bx+c is sometimes called a perfect square trinomial.
Answer the following questions:
(i) Explain, with reasons, how you can determine whether a given quadratic polynomial x2+bx+c is a perfect square trinomial.
(ii) For each of the following polynomials, state whether it is a perfect square trinomial or not. Give a brief justification in each case.
(a) x2+10x+25
(b) x2−18x+81
(c) x2+7x+12