Question

Without actual division, show that
${x}^{3} - {3x}^{2} -13x + 15$is exactly
divisible by
${x}^{2} + 2x - 3$

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Answer 1

Answer:

put x=1 in this polynomial

1-3-13+15 =0

you get zero

This shows x=1 that means x-1 is a factor

Ans x-1