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If ax power n-1 + bx power n-2 + cx power n-3 is a cubic polynomial, where n belongs to N, then find the value of 'n'. |
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Answer» Given : axⁿ⁻¹ +bxⁿ⁻² + cxⁿ⁻³ is a CUBIC POLYNOMIAL where n belongs to N, To Find : the VALUE of 'n' Solution: axⁿ⁻¹ +bxⁿ⁻² + cxⁿ⁻³ is a cubic polynomial so maximum power to x should be 3 and one of the power to x should be 3 case 1 : n - 1 = 3 => n = 4 n - 2 = 4 - 2 = 2 n - 3 = 4 - 3 = 1 => ax³ + bx² + cx Hence n = 4 case 2 : n - 2 = 3 => n = 5 n - 1 = 4 > 3 Hence not a cubic polynomial case 3 : n - 3 = 3 => n = 6 n - 1 = 5 > 3 Hence not a cubic polynomial Value of n = 4 Learn More: write a cubic polynomial whose zeroes are add up to 12 and are in ... Find the cubic polynomial OS zeroes 3,-1,1 - Brainly.in |
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