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PPT On Polynomial

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Published in: Mathematics
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Monomials - a number, a variable, or a product of a number and one or more variables. 4x, 20x2yw3, -3, a2b3, and 3yz are all monomials. Polynomials – one or more monomials added or subtracted 4x + 6x2, 20xy - 4, and 3a2 - 5a + 4 are all polynomials.

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  1. Polynomials Defining Polynomials Adding Like Terms
  2. Vocabulary Monomials - a number, a variable, or a product of a number and one or more variables. 4x, 20x2yw3 -3 a2b3 and 3yz are all monomials. Polynomials — one or more monomials added or subtracted ' 4x + 6x2 20xy - 4, and 3a2 - 5a + 4 are all polynomials.
  3. Like Terms Like Terms refers to monomials that have the same variable(s) but may have different coefficients. The variables in the terms must have the same powers, Which terms are like? 3a2b, 4ab2 3ab, -5ab2 4ab2 and -5ab2 are like, Even though the others have the same variables, the exponents are not the same. 3a2b = 3aab, which is different from 4ab2 = 4abb.
  4. Like Terms Constants are like terms. Which terms are like? 2x, -3, 5b, 0 -3 and 0 are like, 3x, 2x2 4, x Which terms are like? 3x and x are like, Which terms are like? 2wx, w, 3x, 4xw 2wx and 4xw are like,
  5. Adding Polynomials Add: (x2 + 3x + 1) + (4x2 +5) Step 1: Underline like terms: (x2 + 3x + 1) + (4x2 +5) Notice: '3x 'doesn 't have a like term. Step 2: Add the coefficients of like terms, do not change the powers of the variables: (x2 + 4x2) + 3x + (1 + 5) 5x2 + 3x + 6
  6. Adding Polynomials Some people prefer to add polynomials by stacking them. If you choose to do this, be sure to line up the like terms ! Stack and add these polynomials: (2a2+3ab+4b2) + (7a2+ab+-2b2) (x2 + 3x + 1) + (4x2 +5) 5x2 + 3x + 6 (2a2+3ab+4b2) + (7a2+ab+-2b2) (2a2 + 3ab + 4b 2) + (7a2 + ab + -2b2) 9a2 + 4ab + 2b2
  7. Adding Polynomials Add the following polynomials; you may stack them if you prefer: 1) ex 3 — 7 x) + ex 3 + 6x3 — 3x 2) (2w2 + w — 6w2 +8w—4 3) (2a3 +3a2 + 5 (a3 + 4 a + 3) _
  8. Subtracting Po!ynomials 50000000 0000000 Subtract: (3x2 + 2x + 7) - (x2 + x + 4) Step 1: Change subtraction to addition (Keep-Change-Change.). (3x2 + 2x + 7) + (- x2+ -x + - 4) Step 2: Underline OR line up the like terms and add. (3x2 + 2x + 7) 2x2 + x + 3
  9. Subtracting Polynomials 50000000 0000000 ' Subtract the following polynomials by changing to addition (Keep-Change-Change.), then add: 1) (x 2 —x— 4)— (3x2 —4x 2) (9y2 -3y+1 ) (2y2 + y— 3) (2g2 + g (g3 +3g2 + —2X2 -k 3X — 5 g — 4 y -k 10 —g + g —12