Test Prep > Solution to H3 Math 2015 Lecture Test 1


University of Central Florida MAC 2220 Solution to H3 Math 2015 Lecture Test 1 1. (i) Note that if a > 0, then the quadratic expression ax2 + 2bx + c is nonnegative if and only if the discriminant is nonpositive, i.e. (2b)2 - 4(a)(c) ≤ 0, that is if and only if b2 ≤ ac. Otherwise, note that ax2 + 2bx + c = a[(x + b a )2 + c a - b2 a2 ] = a(x + a b )2 + c - b a ...[Show More]

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