Find the x- or t- intercepts of the polynomial functions f(x)=x^3+2x^2-9x-18

Kailey Vargas

Kailey Vargas

Answered question

2022-09-08

Find the x- or t- intercepts of the polynomial functions
f ( x ) = x 3 + 2 x 2 9 x 18

Answer & Explanation

nirosoh9

nirosoh9

Beginner2022-09-09Added 16 answers

f ( x ) = x 3 + 2 x 2 9 x 18
put x=3
f ( x ) = ( 3 ) 2 + 2 × ( 3 ) 2 9 × 3 18 = 27 + 18 27 + 18 = 0
Hence (x-3) is a factor of f(x)
Now, f(x) divided by (x-3), we get the quotient
x 3 + 2 x 2 9 x 18 x 3 = x 2 + 5 x + 6 x 2 + 5 x + 6 = 0 x 2 + 3 x + 2 x + 6 x ( x + 3 ) + 2 ( x + 3 ) ( x + 2 ) ( x + 3 ) = 0 x = 2 x = 3
Hence x=3,-2,-3 answer.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?