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3 years ago

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How do i find the roots of this equation: f(x) = 2x5 - 9x4 + 12x3 - 12x2 + 10x - 3 = 0

1 answer:

Fantom [35]3 years ago

4 0

The equation is <span>f(x) = 2x5 - 9x4 + 12x3 - 12x2 + 10x - 3 = 0
remark:
the sum of coefficients is = 2-9+12-12+10-3=-7+7=0, so a=1 is a zero of f
f can be written as </span>f(x) = (x-1)Q(x), and f(x) / (x-1)= Q(x)
after euclid's division
Q(x) = 2x4 - 7x3 + 5x2 - 7x +3
so for finding the other roots, making Q(x) for product of factors is a must

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Find the product of the expression:<br> (5p^3) (-1m^8p^2)

Rainbow [258]

Answer:

We conclude that:

$\left(5p^3\right)\:\left(-1m^8p^2\right)=-5p^5m^8$

Step-by-step explanation:

Given the expression

$\left(5p^3\right)\:\left(-1m^8p^2\right)$

Apply the rule:

$a\left(-b\right)=-ab$

so the expression becomes

$\left(5p^3\right)\left(-1\cdot \:m^8p^2\right)=-5p^3\cdot \:1\cdot \:m^8p^2$

Apply the rule:

$a^b\cdot \:a^c=a^{b+c}$

so the expression becomes

$=-5p^{3+2}\cdot \:1\cdot \:m^8$ ∵ $p^3p^2=p^{3+2}$

$=-5p^5\cdot \:1\cdot \:m^8$

$=-5p^5m^8$

Therefore, we conclude that:

$\left(5p^3\right)\:\left(-1m^8p^2\right)=-5p^5m^8$

7 0

2 years ago

Ahat [919]

Answer: $\bold{a)\quad 51, 54, 57\qquad a_n=a_{n-1}+3}$

$\bold{b)\quad 250, 625, 1562.5\qquad a_n=(2.5)a_{n-1}}$

<u>Step-by-step explanation:</u>

a) This is an arithmetic sequence where 3 is added to the previous term.

48 + 3 = 51

51 + 3 = 54

54 + 3 = 57

The recursive formula for this sequence is: $a_n = a_{n-1}+3$

*****************************************************************************************

b) This is a geometric sequence where 2.5 is multiplied to the previous term.

100(2.5) = 250

250 (2.5) = 625

625(2.5) = 1562.5

The recursive formula for this sequence is: $a_n=(2.5)a_{n-1}$

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2 years ago

Can someone please help me it’s a quiz and idk what to do!!!! pls

Sindrei [870]

Answer:

plot a point at (0,-8) and another one at (5,-7)

Step-by-step explanation:

connecting the dots would create the slope

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3 years ago

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What is the square root of 64y16?<br> 6 OF<br> O 4y4<br> 4y8<br> 8y4<br> O<br> O 8y8

alexandr402 [8]

Answer:

8y8

i recomend you to use p.h.o.t.o.m.a.t.h

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2 years ago

Read 2 more answers

spin [16.1K]

B. 1.3

Hope that helped:)

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2 years ago