Math, asked by sruthi82, 11 months ago

draw the graph of the given polynomial and find the zero
1)p(x)=x square -6x+9​

Answers

Answered by BrainlyConqueror0901
100

Answer:

\huge{\boxed{\boxed{\sf{x=3\:and\:3}}}}

Step-by-step explanation:

\huge{\boxed{\boxed{\underline{\sf{SOLUTION-}}}}}

p(x) =  {x}^{2}  - 6x + 9  \\  {x}^{2} - 6x + 9 = 0 \\ x{}^{2}   - 3x - 3x + 9 = 0 \\ x(x - 3) - 3(x - 3) = 0 \\ (x - 3)(x - 3) = 0 \\  = )x -  3 = 0 \\  = )x = 3

\huge{\boxed{\boxed{\sf{x=3\:and\:3}}}}

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\huge{\boxed{\boxed{\underline{\sf{VERIFICATION-}}}}}

p(x) =  {x}^{2}  - 6x + 9 \\ p(3) =  {3}^{2}  - 6 \times 3 + 9 \\  \:  \:  \:  \:    \:  \:  \:  \:  \: = 9 - 18 + 9 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 18 - 18 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:    = 0

\huge{\boxed{\boxed{\underline{\sf{VERIFIED}}}}}

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