Show that x^2 +6x+ 11 can be written as (x+p)^2 +q

x2 +6x +11this is a quadratic so we try to factorise it. x2 +6x can be turned into (x+3)2 -9 and we plus the 11 from the beginning so the final answer should look like (x+3)2 +2 and thus p=3 and q=2.

AM

Related Maths A Level answers

All answers ▸

How to factorise any quadratic expression


Find dy/dx for y=5x^3-2x^2+7x-15


Find the values of k for which the equation (2k-3)x^2-kx+(k-1) has equal roots


Demonstrate that (2^n)-1 is not a perfect square for any n>2, n ∈ N.