Express x^2+3x+2 in the form (x+p)^2+q, where p and q are rational numbers.
x2+3x+2 = (x+p)2+q (x+3/2)2 = x2+3x+9/4 x2+3x+2 = (x+3/2)2-9/4+2 x2+3x+2 = (x+3/2)2-1/4
RI
Related Maths A Level answers
All answers ▸What are the stationary points of the curve (1/3)x^3 - 2x^2 + 3x + 2 and what is the nature of each stationary point.
I know how to integrate, but I still never see any real world example of it, so it is difficult to understand. Why is it useful?
How do I find the derivative of two functions multiplied by each other?
Given y=2x(x^2-1)^5, show that dy/dx = g(x)(x^2-1)^4 where g(x) is a function to be determined.