Please, use " ^ " to denote exponentiation:
<span>f(x) = x^3 + 2x^2 − x − 2
Also, please separate your answer choices with a comma or semicolon, or put each on a new line by itself:
</span><span>x − 2
x + 2
x + 3
x − 3
The easiest way to choose the correct linear expression is to use synthetic division. If you do this, and find that you have no remainder, then you know that a particular divisor in synth. div. is a root, which leads to a factor.
Look at x-2. This is a possible factor. The associated possible root is 2. Use 2 as the divisor in synth. div.:
______________
2 / 1 2 -1 -2
2 8 14
--------------- -----
1 4 7 12 Since there is a non-zero remainder, we conclude that 2 is not a root and (x-2) is not a factor.
You could also use long division and carry on until you find a possible factor for which the remainder is zero.</span>
Answer:
x = 3
Step-by-step explanation:
8 - 2x = 2
- 2x = 2 - 8
- 2x = - 6
- x = - 6/2
- x = - 3
x = 3
Given:
long stick: 3 4/5 feet
short stick: 3 1/2 feet
convert mix fractions into improper fractions:
3 4/5 = (3*5)+4/5 = 19/5 long stick
3 1/2 = (3*2)+1/2 = 7/2 short stick
19/5 - 7/2 ⇒ (19/5 * 2/2) - (7/2 * 5/5) = 38/10 - 35/10 = (38 - 35)/10 = 3/10
3/10 feet should be cut from the longer stick so that the two walking sticks will be the same length.
3 4/5 ft = 45.6 inches long stick
3 1/2 ft = 42 inches short stick
3/10 ft = 3.6 inches to be cut from long stick
45.6 inches - 3.6 inches = 42 inches
11.
Just look at the graph, and you will see that an original inequality is:
Multiply both sides by 5:Add 6 to both sides:And you will get an equivalent inequality to
.
12.
Just look at the graph, and you will see that an original inequality is:
Multiply both sides by 5:Add 4 to both sides:And you will get an equivalent inequality to
.
Answer:3x+5
Step-by-step explanation: