F(x)=x^5 + 5*x^4 - 5*x^3 - 25*x^2 + 4*x + 20
By examining the coefficients of the polynomial, we find that
1+5-5-25+4+20=0 => (x-1) is a factor
Now, reverse the sign of coefficients of odd powers,
-1+5+5-25-4+20=0 => (x+1) is a factor
By the rational roots theorem, we can continue to try x=2, or factor x-2=0
2^5+5(2^4)-5(2^3)-25(2^2)+4(2)+20=0
and similarly f(-2)=0
So we have found four of the 5 real roots.
The remainder can be found by synthetic division as x=-5
Answer: The real roots of the given polynomial are: {-5,-2,-1.1.2}
5x - 3 = 7
<em><u>Add 3 to both sides.</u></em>
5x = 10
<em><u>Divide both sides by 5.</u></em>
x = 2
The value of x is 2.
Answer:
lovin lemon co. sells 1 gallon for 24/4 = $6
sweet & sour co. sells 8 qt = 2 gallons for 16/2 = $8
Answer: Distance traveled divided by rate provides the rate of change in position in time. For example, if Cole traveled 225 km at 45 km per hour and traveled 45/225 = 5 hours, then the rate of change in position was 30/5 = 20 minutes.
Step-by-step explanation:
Answer:
y = - 17/3
Step-by-step explanation:
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