Question

find the polynomial which when divided by x square minus x + 2 gives a quotient of X + 2 and reminder of 3

Answer 1

Answer:

Step-by-step explanation:

Given :-

• Divisor = ( -x² + x - 1 )

• Quotient = ( x - 2 )

• Remainder = 3

So ,

the required polynomial =

dividend = divisor * quotient + remainder

=> dividend

= ( - x² + x - 1 ) * ( x - 2 ) + 3

= x ( - x² + x - 1 ) -2 ( -x² + x - 1 ) + 3

= -x³ + x² - x + 2x² - 2x + 2 + 3

= -x³ + x² + 2x² -2x - x + 5

= ( -x³ + 3x² - 3x + 5 )

so , the required polynomial is

( -x³ + 3x² - 3x + 5 )

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Answer 2

Answer:

x == ~ - 3 x raise to 2 plus 3x -5

Step-by-step explanation:

The polynomial which when divided by –x² + x – 1 gives a quotient x – 2 and remainder 3, is A. x³ – 3x² + 3x – 5.