Question

Question 2: The value of k if x - 1 is a factor of 3x3 + 2x2 - 5x + k
0
-1
1
2​

Answer 1

When the value of x is 1, both the factor and the polynomial becomes 0.

So, when x=1

3+2-5+k=0

Therefore, k=0

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If you want to prove it you should use a division algorithm.

→ P(x) = g(x) * Q(x) + R(x)