Express x^2-7x+2 in the form (x-p)^2+q where p and q are rational. Hence or otherwise find the minimum value of x^2-7x+2
For the first part, use the 'complete the square method', which gives (x-7/2)2 -49/4+2, simplified to (x-7/2)2-41/4. To find the answer for the second part, set x=7/2 so that the bracketed part becomes 0, meaning the minimum value is 41/4
CW
Related Maths A Level answers
All answers ▸Differentiate y=x*ln(x^3-5)
Express 3cos(theta) + 5sin(theta) in the form Rcos(theta - alpha) where R and alpha are constants, R>0 and 0<alpha<90. Give the exact value of R and the value of alpha to 2dp.
Given that log3 (c ) = m and log27 (d )= n , express c /(d^1/2) in the form 3^y, where y is an expression in terms of m and n.
Polynomial long division, how do I do it?