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 | 29th Jun, 2014, 11:22: AM

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 | 30th Jun, 2014, 10:27: AM