Answer:
y intercept = -2
x intercepts = -2,-1,1
Step-by-step explanation:
f(x) = x^3 + 2x^2 -x-2
Set this equation equal to zero to find the x intercepts.
Factoring by grouping
0 =x^3 -x +2x^2 -2
= x( x^2-1) +2(x^2-1)
Factoring out the (x^2-1)
0= (x^2-1) (x+2)
Factoring the first term using the difference of squares (a^2-b^2) = (a-b)(a+b)
0 = (x-1) (x+1) (x+2)
Using the zero product property
x-1 = 0 x+1 = 0 x+2 =0
x=1, x=-1 x=-2
The x intercepts are -2, -1, 1
To find the y intercepts, set x=0
y = x^3 + 2x^2 -x-2
y = 0 -2
y = -2
9514 1404 393
Answer:
see attached
Step-by-step explanation:
You can perform the division and look at the quotient and remainder to convert an improper fraction to a mixed number.
23 ÷ 6 = 3 r 5 ⇒ 23/6 = 3 5/6 ≠ 4 1/6
11 ÷ 4 = 2 r 3 ⇒ 11/4 = 2 3/4 ≠ 2 1/2
35 ÷ 4 = 8 r 3 ⇒ 35/4 = 8 3/4
15 ÷ 8 = 1 r 7 ⇒ 15/8 = 1 7/8
40 ÷ 12 = 3 r 4 ⇒ 40/12 = 3 4/12 = 3 1/3
