The degree of the polynomial f(x) = 2x(x - 3)³(x + 1)(4x - 2) is 6, and the dominant term is - 216x²
<h3>The degree of the polynomial?</h3>
The polynomial function is given as:
f(x) = 2x(x - 3)³(x + 1)(4x - 2)
To determine the degree, we simply add the multiplicities.
So, we have:
Degree = 1 + 3 + 1 + 1
Evaluate
Degree = 6
Hence, the degree of the polynomial is 6
<h3>The dominant term of the polynomial</h3>
We have:
f(x) = 2x(x - 3)³(x + 1)(4x - 2)
Expand
f(x) = 8x⁶ - 68x⁵ + 176x⁴ - 72x³ - 216x² + 108x
The term with the highest absolute value is - 216x²
Hence, the dominant term is - 216x²
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A) Tangent is positive in Quadrant I.
Since sine and cosine are both positive in Quadrant I and tangent is the ratio of sine to cosine, tangent is positive in Quadrant I
Answer:
34
Step-by-step explanation:
Marcy got 15% of the 40 wrong
.15 *40
6
If she got 6 wrong, then she got the rest right
40-6 = 34
She got 34 right
Answer:
145
Step-by-step explanation:
Answer:
Step-by-step explanation:
Interest earned during the rest of 2 years and 6 months
40 + 40 + 40 = 120
he will be getting 1000 at the time of maturity ie after 2.5 years .
Total receipt = 1000 + 120 = 1120
investment made = 820
total receipt earned = 1120
profit made = 300
time = 2.5 years
profit = investment x rate of intt x time / 100
300 = 820 x r x 2.5 / 100 where r is rate of interest
r = 30000 / 820 x 2.5
= 14.63 % .