Answer:
x²-(i-3)x- 3i
Step-by-step explanation:
What is a third-degree polynomial function P(x) with rational coefficients so that P(x) = 0 has roots −3 and i?
Given the toots of the polynomial to be -3 and i, the factors of the polynomial will be (x+3) and (x-i)
Taking the product
P(x) = (x+3)(x-i)
P(x) = x²-xi+3x-3i
P(x) = x²-(i-3)x- 3i
Hence the required polynomial is
x²-(i-3)x- 3i
Online for sure it’s sm easier
Step-by-step explanation:
c) 4:10= 4/10 = 2/5 = 2:5
Answer:
Both sports = 15
Step-by-step explanation:
Remark
What an interesting question. At first I didn't think it was possible. Then I saw the word only. That made all the difference in the world.
Givens
Football only = 35
Volleyball only = 15
Ratio = 5/3
Equation
Let the number of students who play both = x
Volleyball / Football = (x + 15) /(x + 35) = 3/5
Solution
(x + 15) / (x + 35) = 3/5 Cross multiply
5*(x + 15) = 3(x + 35) Remove the brackets
5x + 75 = 3x + 105 Subtract 3x from both sides
<u>3x 3x</u>
2x + 75 = 105 Subtract 75 from both sides
<u> - 75 -75 </u>
2x = 30 Divide by 2
2x/2 = 30/2
x = 15
15 people play both sports.
well twenty divided by five equals 4 so 8 times 4 = 32
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