Math, asked by ashish939, 11 months ago

The reminder when 2x - 5x² - 7 is divisible by x - 2 is​

Answers

Answered by amankumaraman11
0

  \boxed{\tt f(x) = x - 2} \\ \rm p(x) = 2x -  {5x}^{2}  - 7

Now,

Zeroes of f(x) = 2

Then,

 \bf p(2) = 2(2) - 5 {(2)}^{2}  - 7 \\  \frak{ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 4 - 20 - 7 = 4 - 27}  \\ \sf  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: = \red{(- 23)}

Hence,

  • The remainder of p(x) when g(x) is its divisor is -23 .
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