Answer:
a. attached graph; zero real: 2
b. p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
Step-by-step explanation:
p(x) = x³ + 4x² + 6x - 36
a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.
p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0
b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.
2 | 1 4 6 -36
1 6 18 0
x² + 6x + 18 = 0
Δ = 6² - 4.1.18 = 36 - 72 = -36 = 36i²
√Δ = 6i
x = -6±6i/2 = 2(-3±3i)/2
x' = -3-3i
x" = -3+3i
p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)
c. the solutions are 2, -3-3i and -3+3i
Answer:
-4
Step-by-step explanation:
-3-1= -4
A negative minus a positive= a "larger" positive.
Answer: 7 3/4 - 2/25 = 767/100 = 7 67/100 = 7.67
Step-by-step explanation:
Conversion a mixed number 7 3/4
to a improper fraction: 7 3/4 = 7 3/4 = 7 · 4 + 3/4= 28 + 3/4 = 31/4
To find a new numerator:
a) Multiply the whole number 7 by the denominator 4. Whole number 7 equally 7 * 4/4 = 28/4
b) Add the answer from previous step 28 to the numerator 3. New numerator is 28 + 3 = 31
c) Write a previous answer (new numerator 31) over the denominator 4.
Seven and three quarters is thirty-one quarters
Subtract: 31/4 - 2/25= 31 · 25/4 · 25 - 2 · 4/25 · 4 = 775/100 - 8/100 = 775 - 8/
100 = 767/100
Answer:
300+200
Step-by-step explanation:
did not give a equation
The number of kilometers she will have left to run to finish the race is 0.9 km.
<u>Given the following data:</u>
- Speed =
To determine the number of kilometers she will have left to run to finish the race:
First of all, we would calculate the distance she has covered by using this formula;
Distance = 12.6 meters.
<u>For the </u><u>distance left</u><u>:</u>
Distance left = 0.9 km.
Learn more about distance here: brainly.com/question/10545161
