Question

2. Let the function P be defined by P(x) = x³ +7x²-26x - 72 where (x + 9) is a

Answer 1

We can tell that an error was made somewhere because the remainder should be equal to zero if (x+9) is a factor of the original function. The factor is (x +9), (
`x^2 - 2x - 8`)

How did we get the value?

x²- 2x -8

`x + 9/x^3 + 7x^2 - 26x - 72` [basic operation]

`x^3 +9x^2`

-2x² - 26x

-2x² - 18X

-8x - 72

-8x - 72

0

So, the answer is x²- 2x - 8, x+9. We can tell that an error was made somewhere because the remainder should be equal to zero if (x+9) is a factor of the original function. However, in this case, the remainder is -8 instead of zero. This means that the division process was not done correctly and the resulting factors may not be correct.

Complete question:

Let the function P be defined by
`P(x)=x^3+7x^2-26x-72` where (x+9) is a factor. To rewrite the function as the product of two factors, long division was used but an error was made: How can we tell by looking at the remainder that an error was made somewhere?