Is 70 thousand written in standard form or word form? Explain
1 answer:
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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:
A
Step-by-step explanation:
First, you have to align the like terms next to each other so that it will be easier to combine like terms. (Like terms have the same variables and powers)
Combine like terms:
(When combining like terms all you have to do is add/subtract the coefficients, number in front of variables, and leave the variable and exponents)
So, we get
Answer:
Step-by-step explanation:
A three dimensional configuration with its face shaped of rectangle is called a Cuboid. So, the prism is in the shape of a cuboid.
The volume of a cuboid = Length *Breadth*Height
The volume of the cuboid shaped prism is