Count change of signs to tell positive roots
then replace x with -x and evaluate, then count change in sign for negative roots
initially
+, -, -, +, +, -
3 changes
3 or 1 positive roots
replacing x with -x
-,-,+,+,-,-
2 changes
2 or 0 negative roots
B is answer
Answer:
Yes
Step-by-step explanation:
Example
x+2 is a factor of 2x+4.
2(x+2) = 2x+4.
2x^2+7x-5+(-8x^2-3x+5)=-6x^2+4x.
[|] Answer [|]

[|] Explanation [|]
3x + 5 = 23
_________
_________
Subtract 5 From Both Sides:
3x + 5 - 5 = 23 - 5
Simplify:
3x = 18
Divide Both Sides By 3:

Simplify:
X = 6
_________
_________
- Check Your Work -
Substitute 6 For X:
3 * 6 + 5 = 23
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
3 * 6 = 18
18 + 5 = 23
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