Answer:
Two complex roots.
Step-by-step explanation:
F(x)=2x^4 +5x^3 - x^2 +6x-1
is a polynomial in x of degree 4.
Hence F(x) has 4 roots. There can be 0 or 2 or 4 complex roots to this polynomial since complex roots occur in conjugate pairs.
Use remainder theorem to find the roots of the polynomial.
F(0) = -1 and F(1) = 2+5-1+6-1 = 11>0
There is a change of sign in F from 0 to 1
Thus there is a real root between 0 and 1.
Similarly by trial and error let us find other real root.
F(-3) = -1 and F(-4) = 94
SInce there is a change of sign, from -4 to -3 there exists a real root between -3 and -4.
Other two roots are complex roots since no other place F changes its sign
Answer:
There are 12 possible outcomes.
Step-by-step explanation:
This question represents combined independent events of probability. Independent events are not affected by previous events. So, your probability is the same with each flip of the coin or roll of the die. So, you just have to look at the total number of outcomes for each and multiply them. Since there are only two sides to a coin, there are only two total outcomes. Since there are six sides to a die, there are only six total outcomes. 2 x 6 = 12 total outcomes.
Answer:
90
Step-by-step explanation:
90 degrees minus 35 degrees equals 65 degrees
B, because nothing repeats.
Answer:
1.175 Canadian dollars
Step-by-step explanation:
129.6/5.50 = 27.70/x
because the exchange ratio is the same for the two currencies, use the above equation to find the answer. Therefore, use the cross multiply system which gets you
152.23 = 129.6x
x = 1.175
