A zero of a function is a number that, when plugged in for the variable, makes the function equal to zero.
P ( x ) = 0
As P ( - 1 ) = 0:
( x³ - 3 x² + x + 5 ) : ( x + 1 ) = x² - 4 x + 5
-x³ - x²
--------------
- 4 x² + x
4 x²+ 4 x
--------------
5 x + 5
-5 x - 5
------------
0
The remaining trinomial: x² - 4 x + 5 doesn´t have rational roots.
Answer: x = -1
Replace f(x) with y
swtich x and y
solve for y
replace y with f⁻¹(x)
f(x)=4x+8
y=4x+8
x=4y+8
x-8=4y
1/4x-2=y
y=1/4x-2
f⁻¹(x)=1/4x-2
none of the above
Answer:
(x + 2)(x² - 2x +4)
Step-by-step explanation:
The sum of cubes factors as ...
(a³ +b³) = (a +b)(a² -ab +b²)
Here, you have a=x, b=2, so the factorization is ...
x³ +8 = (x +2)(x² -2x +4) . . . . . . matches the first selection
1. 550 pages left
55×4=220+330=550
2. 10 hours
330÷55=6+4=10
