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:
11
Step-by-step explanation:
Use a calculator. Punch in 5.5, then use the divide symbol (÷) and finally put in 0.5, then you will get 11 as your final answer.
Hope this helps!
Answer:

Step-by-step explanation:
Given that the triangles are similar then the ratios of corresponding sides are equal.
To determine the scale factor calculate the ratio of corresponding sides, that is
=
= 
Answer:
3
Step-by-step explanation:
This is a cube root so think what times what times what is 27?
3 x 3 x 3 = 27 so the answer is 3
Same problem explained
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The answer is C. -4n⁴+3n.
Separate the expression by its like terms.
12n-2n⁴-10n-2n⁴+n
12n+(-10n)+n=3n
-2n⁴+-2n⁴=-4n⁴
The simplified expression comes out to -4n⁴+3n.