10 1 ADDSUBTRACT POLYNOMIALS NOTES Polynomial expression which
10. 1 ADD/SUBTRACT POLYNOMIALS
NOTES • Polynomial: expression which is the sum of terms. • Standard form: terms placed in descending order form largest degree to smallest • Ex: 3 x 2 + 2 x - 1 • Degree: exponent of the variable. • Degree of polynomial: largest degree of its term. • Leading coefficient: coefficient of the first term.
NOTES • Monomial: 1 term Constant: degree of 0. Linear: degree of 1. • Binomial: 2 terms Quadratic: degree of 2. • Trinomial: 3 terms Cubic: degree of 3. Quartic: degree of 4
WRITE THE POLYNOMIAL IN STANDARD FORM – T/ST 3 x + 4 x 2 – 5 • -4 x + 7 x 4 – 5 x 3 + 1 • 5 x 2 + 4 – 3 x 3 x – 7 + 2 x 2 • X – 7 x 3 + 2
IDENTIFY THE LEADING COEFFICIENT, CLASSIFY POLYNOMIAL BY DEGREE AND BY TERM - T • 14 • x 3 - 5 • 2 x 2 – 5 x + 1
IDENTIFY THE LEADING COEFFICIENT, CLASSIFY POLYNOMIAL BY DEGREE AND BY TERM - T • 2 x + 3 • x – x 3 + 3 x 2 + 9 • 1 – x 4 • -3 x 2 + 6 x - 2
ADDING POLYNOMIALS VERTICALLY-T/ST (-9 x 2 – x + 2) + (4 x 2 + 2 x – 7) (x + 2) + (2 x + 5) (-x 2 – 8 x -15) + (x 2 - 5 x - 6) (w 3 + 6 w) + (-w 2 - 8 w +7)
SUBTRACT POLYNOMIALS VERTICALLY – T/ST (15 x 2 + 2 x - 9) – (-x 2 - 12 x – 6) (11 y 2 – 8 y - 19) – (20 y 2 + 3 y + 10) (4 b 3 – 7 b - 7) – (b 2 + 6 b - 12) (-n 2 – 5 n + 9) – (2 n 3 + 8 n – 13)
ADDING POLYNOMIALS HORIZONTALLY – T/ST (-8 x 3 + x -16) + (x 2 +9 x) (3 a 2 + 1)+(4 a 2 – 7) (-10 v 2 + 20) + (v 2 – 12 v) (2 y 3 + 5 y – 12) + (y 3 – 6 y 2+3 y – 4)
SUBTRACT POLYNOMIALS HORIZONTALLY- T/ST (15 b 4 + 14) – (3 b 4 - 4) (3 b 4 + 6 b + 1) – (9 b 4 + 7 b 2 – 18) (7 g 2 – 2 g + 8) – (g 2 – 6 g + 1) (8 d 4 + 5) – (7 d 4 – 1)
WRAP UP • Questions/Comments • Hw: text pg. 579, #’s: 20 -24 evens, 32 -54 evens
- Slides: 11