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InterviewSolution
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Find the degree of the following expressions.(i) x3 – 1(ii) 3x2 + 2x + 1(iii) 3t4 – 5st2 + 7s2t2(iv) 5 – 9y + 15y2 – 6y3(v) u5 + u4v + u3v2 + u2v3 + uv4 |
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Answer» (i) x3 – 1 The terms of the given expression are x3, -1 Degree of each of the terms: 3,0 Terms with highest degree: x3. Therefore, degree of the expression is 3. (ii) 3x2 + 2x + 1 The terms of the given expression are 3x2, 2x, 1 Degree of each of the terms: 2, 1, 0 Terms with highest degree: 3x2 Therefore, degree of the expression is 2. (iii) 3t4 – 5st2 + 7s2t2 The terms of the given expression are 3t4, – 5st2, 7s3t2 Degree of each of the terms: 4, 3, 5 Terms with highest degree: 7s2t2 Therefore, degree of the expression is 5. (iv) 5 – 9y + 15y2 – 6y3 The terms of the given expression are 5, – 9y, 15y2, – 6y3 Degree of each of the terms: 0, 1, 2, 3 Terms with highest degree: – 6y3 Therefore, degree of the expression is 3. (v) u5 + u4v + u3v2 + u2v3 + uv4 The terms of the given expression are u5, u4v, u3v2, u2v3, uv4 Degree of each of the terms: 5, 5, 5, 5, 5 Terms with highest degree: u5, u4v, u3v2, u2v3, uv4 Therefore, degree of the expression is 5. |
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