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Elodia [21]
3 years ago
8

Find the zeroes of the polynomial function f(x)=x^4-5x^3+11x^2-25x+30.

Mathematics
1 answer:
katen-ka-za [31]3 years ago
7 0

Step-by-step explanation:

x⁴ − 5x³ + 11x² − 25x + 30

x⁴ − 5x³ + 6x² + 5x² − 25x + 30

x² (x² − 5x + 6) + 5 (x² − 5x + 6)

(x² + 5) (x² − 5x + 6)

(x² + 5) (x − 2) (x −3)

The zeros are 2, 3, and ±√5i.

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Please help! Due tonight!
Kay [80]

Answer:

B. 6,8,10

Step-by-step explanation:

to find a right triangle the equation: a^2 + b^2 = c^2, so just plug each number in to see.

6^2 + 8^2 = !0^2

36 + 64 = 100

100 = 100

Personally i knew almost immediately because 3,4,5 are the most common right triangles example and 6,8,10 are just a x2 of them so yea.

3 0
3 years ago
YO HELLO I NEED HELP WITH THIS
Tasya [4]
Answer- I don’t know sorry
7 0
2 years ago
The graph of the function g(x)= x^2+3x-4 is shifted 5 units to the left
omeli [17]
<h2><em><u>HEYA</u></em></h2>

<h3>THE MID TERM SPLITTING OF THE EQUATION IS :</h3>

{x}^{2}  + 3x - 4

{x}^{2}  + 4x - x - 4

x(x + 4) - 1(x + 4)

x =  -4 \: and \: 1

x = 1

now shifted to 5 units left

therefore,

x=-4

hope it helps you mate thanks for the question and if possible please mark it as brainliest

5 0
3 years ago
What is the product?
Sophie [7]

Answer:

Step-by-step explanation:

In exponent multiplication, if base are same just add the powers.

(-6a^{3}b+2ab^{2})(5a^{2}-2ab^{2}-b)=(-6a^{3}b)*(5a^{2}-2ab^{2}-b)+2ab^{2}*(5a^{2}-2ab^{2}-b)\\\\

                                             =(-6a^{3}b)*5a^{2}-(-6a^{3}b)*2ab^{2}-(-6a^{3}b)*b+ 2ab^{2}*5a^{2}-2ab^{2}*2ab^{2}-2ab^{2}*b\\\\=-30a^{3+2}b+12a^{3+1}b^{1+2}+6a^{3}b^{1+1}+10a^{1+2}b^{2}-4a^{1+1}b^{2+2}-2ab^{2+1}\\\\=-30a^{5}b+12a^{4}b^{3}+6a^{3}b^{2}+10a^{3}b^{2}-4a^{2}b^{4}-2ab^{3}\\

6 0
3 years ago
Write the terms a 1a1​, a 2a2​, a 3a3​, and a 4a4 of the following sequence. If the sequence appears to​ converge, make a conjec
Arturiano [62]

Answer:

Step-by-step explanation:

WE are given that a_n = \frac{(-1)^{n+1}}{5n-4}. Then, to now the first for terms, we must replace n by 1,2,3,4 respectively. Then

a_1 = \frac{(-1)^2}{5(1)-4} = \frac{1}{1}= 1

a_2 = \frac{(-1)^3}{5(2)-4} = \frac{-1}{6}

a_3 = \frac{(-1)^4}{5(3)-4} = \frac{1}{11}= 1

a_4 = \frac{(-1)^5}{5(4)-4} = \frac{-1}{16}= 1

Note that as n increase, a_n gets closer to 0. So, the limit of this sequence is 0.

6 0
3 years ago
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