Question

Find the remainder when 7x3 - 3x2 + 5x -2 is divided by x+2​

Answer 1

Answer:

7x3=21,-3x2=-6,5x-2=3x 21-6+3x.=18x 18x/x+2=9

Answer 2

remainder = -80

use remainder theorem : if f(x) is a polynomial divided by the other polynomial x + a then remainder will be f(-a).

here f(x) = 7x³ - 3x² + 5x - 2

(x + a) = x + 2

so, remainder = f(-a) = f(-2)

= 7(-2)³ - 3(-2)² + 5(-2) - 2

= 7(-8) - 12 - 10 - 2

= -56 - 24

= - 80

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