Unit 5: Quadratics

Key words

• FactorKey word · Unit 5FactorOne of the quantities multiplied to make a product.Exactly: A number or expression that multiplies with another to give the specified number or expression.Mix-up alert: You can cancel common factors, not terms joined by addition.See this in Key wordsClose meaning
• Zero product lawKey word · Unit 5Zero product lawIf a product is zero, at least one factor must be zero.Exactly: For real numbers $a,b$, $ab=0$ implies $a=0$ or $b=0$.Mix-up alert: Make one side zero before using this law; it does not apply to a product equal to 6.See this in Key wordsClose meaning
• Completing the squareKey word · Unit 5Completing the squareRewrite a quadratic using a squared binomial.Exactly: Rewrite $x^2+bx=(x+\frac{b}{2}{)}^2-(\frac{b}{2}{)}^2$, with a leading coefficient factored out or normalized first.Mix-up alert: Adding a quantity to one side of an equation requires adding it to the other side.See this in Key wordsClose meaning