Polynomial is an expression that consists of indeterminates(variable) and coefficients. The multiplicity of 0 is 3, 2/3 is 1 and -4 is 1.
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What are polynomials?</h3>
Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
Given polynomial equation q(x)=12x⁵+40x⁴-32x³, therefore, the factorised form of the equation will be,
![q(x)=12x^5+40x^4-32x^3\\\\q(x)=4x^3(3x^2+10x-8)\\\\q(x)=(4x^3-0)(3x^2+12x-2x-8)\\\\q(x)=(4x^3-0)[3x(x+4)-2(x+4)]\\\\q(x) = (4x^3-0)(3x-2)(x+4)](https://tex.z-dn.net/?f=q%28x%29%3D12x%5E5%2B40x%5E4-32x%5E3%5C%5C%5C%5Cq%28x%29%3D4x%5E3%283x%5E2%2B10x-8%29%5C%5C%5C%5Cq%28x%29%3D%284x%5E3-0%29%283x%5E2%2B12x-2x-8%29%5C%5C%5C%5Cq%28x%29%3D%284x%5E3-0%29%5B3x%28x%2B4%29-2%28x%2B4%29%5D%5C%5C%5C%5Cq%28x%29%20%3D%20%284x%5E3-0%29%283x-2%29%28x%2B4%29)
Therefore, the multiplicity of 0 is 3, 2/3 is 1 and -4 is 1.
Learn more about Polynomial:
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Answer:
a. 75%
Step-by-step explanation:
Let "p" represent the probability that Jeffrey will eat pizza, and "c" represent the probability that he will drink cola.
We are given ...
P(p) = 0.40
P(p&c) = 0.30
The conditional probability of interest is ...
P(c|p) = P(p&c)/P(p) = 0.30/0.40 = 0.75
The probability Jeffrey will drink cola, given that he eats pizza, is about 0.75.
Answer:
In-sufficient data
Step-by-step explanation:
The formula for area is pi*radius*radius
Answer:
12.6
Step-by-step explanation:
The two left sides have lengths, so this allows you to establish the ratio of the lengths of the sides of the triangles,
left triangle : right triangle
ratio = 25 : 17.5
The bottom sides are also in the same ratio.
ratio = 18 : w
Write a proportion by setting the ratios equal and solve for w.
25/17.5 = 18/w
Cross multiply.
25w = 17.5 * 18
25w = 315
w = 12.6
Answer: 12.6
She didn’t multiply -1/4 by 12 in order to get -1/4x + 3 = -1
which would change her answer, because then you have to subtract 3 from -1 and get -4. Then divide -1/4 & get 16. It changed to positive because of the division & multiplication rule with two negative numbers.
Hope this helps.
