Question

find a polynomial which is divided by (x - 2) gives the quotient (x + 3) and remainder is -7​

Answer 1

Step-by-step explanation:

x² + x - 13 is the required answer. refer to the image for explanation.

Answer 2

Answer:

${x}^{2} + x - 13$

Step-by-step explanation:

Dividend = (Divisor x Quotient) + Reminder

$= )(x - 2)(x + 3) + ( - 7) \\ = )(( {x}^{2} + 3x) - ( 2x + 6)) + ( - 7) \\ = )( {x}^{2} + 3x - 2x - 6) + ( - 7) \\ = ) ({x}^{2} + x - 6) - 7 \\ = ) {x}^{2} + x - 13$

Hope it helped