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For example: 5a b, 7ba",-10a b etc, are like terms whereas -ab.9ab, 6ba are all unlike terms., 11. The terms of a polynomial are said to be in ascending or descending order, if they increase or, decrease in degrees respectively., Thus (i) The terms of the polynomial 116 - 262 + 6b – 1 are in descending order., (ii) The terms of the polynomial 18 – 3a + 11a - 7a' are in ascending order., Exercise 12A, 1. Which of the following expressions are not polynomials?, -6x, 7, (ii) 10 p? +-2 (i) 5z - V7z? +11, 5x -8x?, (iv), 1+ x, () 3x2 + 5x² -9x2 +7 (vi) x?, (vii) 2x-7x + 5x – 2, (viii) 45, (ix), +5, (x) 7x2 + x + 8, 2. Write monomial, binomial, trinomial or polynomial to classify each polynomial and also state, their degree:, (i) 5x, (ii) 17x°y°z,, (vi) m- 8m + m - 2m?, (iv) x? + 3x + 7, (vii) y-3y + 19, (iii) -11 - 7x, (v) -z+V3z3, (vii) p - 3p+5-p° +11 p3, 3. Arrange the polynomial 4xy² - 7xy+ 2x -3y+ x°y in decreasing degree in x., 4. Give the degree of each of the following polynomials:, (i) 5x° + 6x2 – 3x + 20, 5. Write down the numerical as well as literal coefficients of the following monomials:, (ii) -2x + 9, (iii) xy + 5x - 9xy, (iv) -23, (i ) 6x°y?, (iv) abo, (i) 2rr, Multiple Choice Questions (Mcas), Tick () the correct option., 6. Which of the following is a pair of like terms?, (a) – 16 xy z, 24xyz, (iii) -5ab?, (b) 7xz'y, - 10xyz, (c) 4abc, 4acb?, (d) 12a b'c, 4b°ca, 7. Which of the following is a binomial?, (a) 4xy + y - x, (b) 4ab – 18 - 4ab, (c) a'b + b°c, (d) 12xy- 18 + 16xy, Operations on Polynomials, Addition and Subtraction of Polynomials, For addition or subtraction of two or more polynomials:, 1. We collect the like terms together., 2. Find the sum or difference of the numerical coefficients of these terms., 3. The resulting expression should be in the simplest form and can be written according to the, ascending or descending order of the terms., 14, OPPO A15 · © Rishabh, 2022/01/31 18:38