Mathematics

Alejandra Noble

4 May, 15:36

Some of the steps in the derivation of the quadratic formula are shown. Step 3: - c + StartFraction b squared Over 4 a EndFraction = a (x squared + StartFraction b Over a EndFraction x + StartFraction b squared Over 4 a squared EndFraction) Step 4a: - c + StartFraction b squared Over 4 a EndFraction = a (x + StartFraction b Over 2 a EndFraction) squared Step 4b: negative StartFraction 4 a c Over 4 a EndFraction + StartFraction b squared Over 4 a EndFraction = a (x + StartFraction b Over 2 a EndFraction) squared Which best explains or justifies Step 4b? factoring a polynomial multiplication property of equality converting to a common denominator addition property of equality