Tec — The Education Consultancy

Student Learning Outcomes covered

• Know that a rational expression behaves like a rational number; define it as p(x)/q(x), q(x) \u2260 0
• Examine whether a given algebraic expression is a polynomial or a rational expression
• Define lowest form; examine and reduce a rational expression to its lowest form
• Find the sum, difference and product of rational expressions
• Divide a rational expression by another and express the result in lowest form
• Find the values of algebraic expressions at particular real numbers
• Know (a+b)\u00b2+(a-b)\u00b2=2(a\u00b2+b\u00b2) and (a+b)\u00b2-(a-b)\u00b2=4ab; find a\u00b2+b\u00b2 and ab from a+b and a-b
• Know (a+b+c)\u00b2=a\u00b2+b\u00b2+c\u00b2+2ab+2bc+2ca; find any one of a+b+c, a\u00b2+b\u00b2+c\u00b2, ab+bc+ca from the other two