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College Algebra K /DC Tuesday , 17 September 2013. OBJECTIVE TSW add, subtract, mulitply , and divide polynomials. ASSIGNMENTS DUE Sec . R.3: pp. 30-31 (11-28 all, 33-42 all) (black tray) AGENDA Sec. R.3: Add, subtract, and multiply polynomials.
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College Algebra K/DCTuesday, 17 September 2013 • OBJECTIVETSW add, subtract, mulitply, and divide polynomials. • ASSIGNMENTS DUE • Sec. R.3: pp. 30-31 (11-28 all, 33-42 all) (black tray) • AGENDA • Sec. R.3: Add, subtract, and multiply polynomials. • QUIZ: Mean, Median, Mode, Absolute Value
Polynomials R.3 Adding Polynomials ▪ Subtracting Polynomials▪ Multiplying Polynomials ▪ Dividing Polynomials
Like Terms Like Terms 4x 3 and x 3 5b and 8b 10a 2 and 3a 2 5x 4y 5 and 2x 4y 5 Not Like Terms 4x 3 and x 2 5b and 8ab 10a 2 and 2a 10 5x 5y 4 and 2x 4y 5 Like terms are terms with the same variables each raised to the same powers. To add or subtract polynomials, add or subtract the coefficients of like terms.
Multiplying Polynomials • Multiply Technique #1: Distribution
Multiplying Polynomials • Multiply Technique #2: Box Method I do not have a preference as to which methodyou use; you may use whichever is easiest foryou.
Multiplying Polynomials • Find the product. Multiply the parentheses first. Then distribute.
Dividing Polynomials One term in the denominator Create separate fractions and simplify.
Dividing Polynomials More than one term in the denominator Use long division.
Dividing Polynomials Placeholders for missing terms Stop! The degree of the remainder (1) Is less than the degree of the divisor (2).
Assignment • Adding, Subtracting, Multiplying Polynomials • Sec. R.3: p. 31 (43-58 all, 77-85 odd) • Due on Monday, 23 September 2013 (TEST day). • Dividing Polynomials • Sec. R.3: p. 31 (87-94 all) • Due on Monday, 23 September 2013 (TEST day).
Assignment: Sec. R.3 – p. 31 (43-58 all, 77-85 odd) Find each sum or difference. Find each product.
Assignment: Sec. R.3 – p. 31 (43-58 all, 77-85 odd) Perform the indicated operation.
Assignment: Sec. R.3 – p. 31 (87-94 all) Write each problem and perform each division.