The polynomial for this case is given by:
(x) * (x-1) * (x + 1) * (x-4) = 0
Rescribing we have:
(x) * (x ^ 2-1) * (x-4) = 0
(x) * (x ^ 3 - 4x ^ 2 - x + 4) = 0
(x ^ 4 - 4x ^ 3 - x ^ 2 + 4x) = 0
Therefore, the polynomial in standard form is:
f (x) = x ^ 4 - 4x ^ 3 - x ^ 2 + 4x
Answer:
a polynomial function in standard form with zeroes 0, 1, 4, and -1 is:
f (x) = x ^ 4 - 4x ^ 3 - x ^ 2 + 4x
Answer:
Step-by-step explanation:
Let the larger number = x
Let the smaller number = y
x = 2*y + 8
x * y = 234 Put the first equation into the second.
(2y + 8)*y = 234 Remove the brackets
2y^2 + 8y = 234 Subtract 234 from both sides
2y^2 + 8y - 234 =0 Factor out 2
2(y^2 + 4y - 117) = 0 Divide by 2
y^2 + 4y - 117 = 0
(y + 13)(y - 9)
y = 9 is one answer
x * y = 234
x * 9 = 234 Divide by 9
x = 234/9
x = 26
The two numbers are 9 and 26
Answer:
45 dimes
Step-by-step explanation:
66 nickels = 66 x $0.5 = $3.30
$7.80 - $3.30 = $4.50
$4.50 / $0.10 = 45
About 32.9 minutes have gone by.
To find this answer you take your percent and make it a decimal by dividing it by 100. In doing so, you'll get 0.53. Then multiply 0.53 by 62 to get 32.86. Since you have to round to the nearest tenth, you look at the hundredths place to see whether you round up (5-9) or round down (1-4). In this case, you round up making your answer 32.9 minutes.
I hope this helps!