First observe that x=-1 is a root of the equation. Use long division to divide x^3-3x^2+x+5 by x+1, we find that (x^3-3x^2+x+5)/(x+1)=(x^2-4x+5). Now we need to find the roots of x^2-4x+5.
x^2-4x+5=0,
x^2-4x+4=-1,
(x-2)^2=i,
x-2=i or -1,
x=2+i or 2-i.
The three roots are 2+i, 2-i, -1.
X² - 3x + 27 = 8x - 3 аdd 3 to both sides ⇒
+ 3 + 3
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x² - 3x + 30 = 8x subtract 8x from both sides ⇒<span>
- 8x - 8x
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x</span>² - 11x + 30 = 0 ← <span>standard form
</span>
A. Add 3 to both sides and subtract 8x from both sides.
N+7 - 7 more songs added
n-2 - 2 songs deleted (subtracted)
4n - 4 times more songs than before
n/2 - the number of songs cut in half (divided by 2)
Answer:
A, C, F.
Step-by-step explanation:
A polynomial consists of an expression that involves only non-negative integer exponents for the variable; in all of your cases, the variable is x.
So, expression A has a square root of x, that is a rational exponent.
Expression C has variables in the denominators, that is negative exponent.
Expression F has variable at the exponent.