Question

2. If 5x3 - 5x2 + 6x + 9 is divisible by
x + 3, then find the remainder.​

Answer 1

Answer:

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Answer 2

Answer:

When we divide x3 - 5x2 + 6x + 9 by x + 3 the remainder we obtain is - 189.

Step-by-step explanation:

We can find the remainder by using remainder theorem:

x + 3 = 0

∴ x = - 3

p(x) = 5x3 - 5x2 + 6x + 9

We will put the value we obtained for x in this equation:

p(- 3) = $5 (-3)^{3} - 5 (-3)^{2} + 6 (-3) + 9$

=> - 135 - 45 - 18 + 9

=> - 189

Therefore, when we divide x3 - 5x2 + 6x + 9 by x + 3 the remainder we obtain is - 189.

It is not divisible because for a polynomial to be divisible the remainder has to be '0'.

Hence, the polynomial is not divisible.