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CBSE Class 9 Answered

Find the degree of the given polynomials
(i) a cubed x to the power of 5 space plus space a squared x cubed space plus space a x squared space plus space 9
 
(ii) x cubed over x space plus space square root of 2 x space plus space 5
(iii)x left parenthesis x squared space minus space 2 x space minus space 1 right parenthesis
(iv)p squared left parenthesis p to the power of 3 space end exponent plus space 1 right parenthesis
Asked by vatsalchoudhary41 | 29 Jun, 2014, 11:22: AM
answered-by-expert Expert Answer

text The exponent of the highest degree term in a polynomial is known as its degree. end text open parentheses text i end text close parentheses a cubed x to the power of 5 plus a squared x cubed plus a x squared plus 9 text The exponent of the highest degree term in the polynomial is 5. end text text So is is a polynomial in the variable end text space x text of degree 5 end text. open parentheses text ii end text close parentheses x cubed over x plus square root of 2 x plus 5 equals x squared plus square root of 2 x plus 5 text The exponent of the highest degree term in the polynomial is 2. end text text So is is a polynomial in the variable end text space x text of degree 2 end text. open parentheses text iii end text close parentheses x open parentheses x squared minus 2 x minus 1 close parentheses equals x cubed minus 2 x squared minus x text The exponent of the highest degree term in the polynomial is 3. end text text So is is a polynomial in the variable end text space x text of degree 3 end text. open parentheses text iv end text close parentheses p squared open parentheses p cubed plus 1 close parentheses equals p to the power of 5 plus p squared text The exponent of the highest degree term in the polynomial is 5. end text text So is is a polynomial in the variable end text space p text of degree 5 end text.

Answered by Vijaykumar Wani | 30 Jun, 2014, 10:27: AM

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