Answer:
Step-by-step explanation:
The quadratic expression in the standard form is given by :
f(x) = + bx + c
(b) To complete the square:
Divide the equation through by a , the equation then becomes
f(x)= + +
At this point, you are require to
(i) multiply the coefficient of x by 1/2
(ii) square the result
(iii) add the result to both sides , we have
f(x) = + + + + by completing the square , we have
f(x) = + - . We did this in order to make the expression balance
(c) Using the order of operation to turn the expression back into standard form
i. Expand the function in the bracket , we have
f(x) = + + + -
⇒ f(x) = + + + -
⇒f(x) = + +
multiply through by the L.C.M , which is a , then we have
f(x) = - bx + c .
Since the aim of completing the square is to make the expression a perfect square , then it will always result in a perfect square trinomial.