Question

if 5x³+5x²-6x+9 is divided by x+3 then the remainder​

Answer 1

Answer:

When we divide 5x³ + 5x² - 6x + 9 by x + 3 the remainder we obtain is - 99

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

=> - 99

Therefore, when we divide 5x³ + 5x² - 6x + 9 by x + 3 the remainder we obtain is -99.

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

Hence, the polynomial is not divisible.