Math, asked by cakash2306, 1 year ago

Show that 2 is not zero of the polynomial p(x)= x^2 +2x+5

Answers

Answered by preety522
0

Answer:

(2x2)+2x2+5

4+4+5

13isnot equal to 0

so 2 isnot it's zero

Answered by irshadsyed281
2

 \bold{\blue{\underline{\red{G}\pink{iv}\green{en}\purple{:-}}}}

  • P(x) = \bold {x^2 + 2x + 5}
  • x = 2

\bold{\blue{\underline{\red{Zeros}\pink{\:of\:}\green{\:the\:polynomials}\purple{:-}}}}

  • Zeros of the polynomial is the value of the variable for which when replaced in the polynomial the value for the polynomial changes to zero .

\bold{\blue{\underline{\red{General}\pink{\:form \:of }\green{\:polynomial}\purple{:-}}}}

  • \bold{a_{n}x^n + a_{n-1}x^{n-1} +...... + a_{2}x^2 + a_{1}x + a_{0}}
  • Where ' \bold{a_{n}  , a_{n-1} ...... a_{1} , a_{0}} ' are Real numbers and 'n' is an integer .

 \bold{\blue{\underline{\red{Q}\pink{uest}\green{ion}\purple{:-}}}}

  • To show that 2 is not a zero of the polynomial ' P(x) = \bold {x^2 + 2x + 5} '

 \bold{\blue{\underline{\red{S}\pink{olut}\green{ion}\purple{:-}}}}

  • We have to show that P(2) \neq 0
  • P(2) = \bold{2^2 + 2  \times 2 + 5}
  • P(2) = 4 + 4 +5
  • P(2) = 13
  • P(2) = 13 \neq 0
  • 2 is not a zero of the polynomial ' P(x) = \bold {x^2 + 2x + 5} '
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