Answer:
P(x) = x³-(3i+1)x²+(3i-2)x+6i
Step-by-step explanation:
If -1, 2 and 3i are roots of the polynomial, then the following are factors of the polynomial in x
(x+1), x-2 and x-3i
To get the required polynomial, we will take the product of the factors as shown;
(x+1)(x-2)(x-3i)
(x+1)(x-2) = x²-2x+x-2
(x+1)(x-2) = x²-x-2
(x²-x-2)(x-3i) = (x²)(x)-x²(3i)-x(x)-x(-3i)-2x-2(-3i)
(x²-x-2)(x-3i) = x³-3x²i-x²+3xi-2x+6i
(x²-x-2)(x-3i) = x³-x²(3i+1)+x(3i-2)+6i
(x²-x-2)(x-3i) = x³-(3i+1)x²+(3i-2)x+6i
Hence the polynomial function in standard form with leading coefficient of 1 is x³-(3i+1)x²+(3i-2)x+6i
Clare would need 80 of fish, (1/3 of 240 is 80.)
Ian would need 200g of butter (If you find the amount of each ingredient needed for a one person-pie, and multiply them by the amount of people you need to feed, you will get your answer.)
We know that 80g of butter is used for 6 people, so by dividing 80 by 6, we know that for a one person-pie, you would need 13.33g of butter. Multiply 13.33 by 15 to find out how many grams of butter he would need for a pie for 15 people.
Every hour at 12km/h I would go 12km. Simple.
The distance traveled in km is equal to 12 times how many hours you go.
If I go 27 km, I can go in reverse and divide by 12 to get 2.25 hours.
A quarter of an hour is 15 minutes, so the answer would be 2 hours and 15 minutes.
Answer:
yes
Step-by-step explanation:
–2.5 is greater than –3, because –2.5 lies to the right of –3 on the number line.
Answer:
There are no common divisors
Step-by-step explanation:
