Question

The degree of the polynomial (3 x 3 y)+(5 x 2 y 4)-2x-1 is

Answer 1

Answer:

Degree of a polynomial in one variable = highest power of the variable in algebraic expression (i) 2x – 1 Power of x = 1 Highest power of the variable x in the given expression = 1 Hence, degree of the polynomial 2x – 1 = 1 (ii) –10 There is no variable in the given term. Let us assume that the variable in the given expression is x. – 10 = –10x0 Power of x = 0 Highest power of the variable x in the given expression = 0 Hence, degree of the polynomial – 10 = 0 (iii) x3 – 9x + 3x5 Powers of x = 3, 1 and 5 respectively. Highest power of the variable x in the given expression = 5 Hence, degree of the polynomial x3 – 9x + 3x5= 5 (iv) y3 (1 – y4) The equation can be written as, y3 (1 – y4) = y3 – y7 Powers of y = 3 and 7 respectively. Highest power of the variable y in the given expression = 7 Hence, degree of the polynomial y3 (1 – y4) = 7

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