Question

withOut actual division, prove that
2-603 + 3x² + 3x-2 is exactly
by x² – 3x+21​

Answer 1

Answer:

First find Roots of second equation

${x}^{2} - 3x + 21 \\ {x}^{2} - 2x - x + 2 = 0 \\ (x - 2)(x - 1) = 0 \\ x = 2 \: and \: 1$

All you now need to do is Satisfy x = 1 and 2 in first equation and check we get zero .