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ki77a [65]
3 years ago
6

The polynomial 3x2 – 10x + 8 has a factor of 3x – 4. What is the other factor of 3x2 – 10x + 8?

Mathematics
2 answers:
anyanavicka [17]3 years ago
6 0

Answer:

Second factor is (x - 2).

Step-by-step explanation:

The given polynomial is 3x² -10x + 8 has a factor (3x - 4) and we have to find the other factor.

Now we will factorize the given polynomial to get the other factor.

3x² - 10x + 8

[ Here 8×3 = 24( multiplication of constant term 8 and coefficient of highest degree term) and 6 + 4 = 10 ]

= 3x² - 6x - 4x + 8

= 3x(x - 2) - 4(x - 2)

= (3x -4)(x -2)

In this factorized form we get two factors as (3x -4) and (x -2).

Therefore the second factor is (x - 2).

ololo11 [35]3 years ago
5 0
If you're doing polynomials you might as well know how to divide with the equations.. 
to find another factor of the equation, divide the equatiion with its known factor (3x^2-10x+8)/(3x-4) You'll get x-2 

(I cant really show you how to divide polynomials since it'll look v.complicated over here! sorry..)
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Answer:

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Step-by-step explanation:

4 0
3 years ago
The polynomial function f(x) = 3x5 - 2x2 + 7x models the motion of a roller coaster. The roots of the function represent when
sladkih [1.3K]

Answer:

0, ±1, ±7,±1/3, and ±7/3

Step-by-step explanation:

In the function:

3x^5 - 2x² + 7x

x can be extracted as the greatest common factor, as follows:

x(3x^4 - 2x + 7)

then, zero is one root of the function.

According to Rational Root Theorem:

possible rational roots = factors of the constant/factors of the leading coefficient

For this case, factors of the constant (7) are: ±1 and ±7

For this case, factors of the leading coefficient (3) are: ±1 and ±3

Then:

possible rational roots =  ±1/±1, ±7/±1, ±1/±3 and ±7/±3. Simplifying: ±1, ±7,±1/3, and ±7/3

7 0
2 years ago
A woman 38 years old has a daughter 14 years old. How many years ago was the woman 8 times older than the daughter?
Veronika [31]

Answer:

112 years ago

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3 years ago
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3 years ago
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Answer:

Step-by-step explanation:Solution :

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5 0
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