Write an equation for the line parallel to y = –2x – 5 that contains P(–8, 4).
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The all other 3 factors of the equation x⁴ + 2x³ − 7x² − 8x + 12 will b e(x + 2),(x - 1) and (x + 3).
What are the roots of an equation?
Roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.
For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.
Given the equation,
x⁴ + 2x³ − 7x² − 8x + 12
If (x - 2) is a factor of the equation then it should be divisible by it.
So,
(x⁴ + 2x³ − 7x² − 8x + 12) / (x - 2) = (x³ + 4x² + x - 6)
Now divide by (x - 1) of (x³ + 4x² + x - 6)
(x³ + 4x² + x - 6) / (x - 1) = x² + 5x + 6
So,
⇒ (x - 2)(x - 1)(x² + 5x + 6)
⇒ (x - 2)(x - 1)( x² + 2x + 3x + 6)
⇒ (x - 2)(x - 1)[ x(x + 2) + 3(x + 2) ]
⇒ (x - 2)(x - 1)(x + 2)(x + 3)
Hence "The all other 3 factors of the equation x⁴ + 2x³ − 7x² − 8x + 12 will b e(x + 2),(x - 1) and (x + 3)".
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Answer:
Step-by-step explanation:
The given equation is:
Now, (x-2) is a factor of the given equation, therefore
Therefore, the other factors are (x-1), (x+2) and (x+3).
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The result 6x^4 + x^2 + 15 is a trinomial.
The result 6x^4 − 5x^3 − 18x^2 + 8x + 15 is a polynomial.
The result 6x^4 − 5x^3 − 18x ^2 + 8x + 15 has a degree of 4.
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3x²(2x² - x - 3) -x(2x² - x - 3) - 5(2x² - x - 3)
6x⁴ - 3x³ - 9x² - 2x³ + x² + 3x - 10x² + 5x + 15
6x⁴ - 3x³ - 2x³ - 9x² + x² - 10x² + 3x + 5x + 15
6x⁴ - 5x³ - 18x² + 8x + 15
The result 6x^4 − 5x^3 − 18x^2 + 8x + 15 is a polynomial.
B) (x - 1)(x + 4)
C) (x - 4)(x + 1)
D) cannot be factored
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Answer: D) cannot be factored
Step-by-step explanation:
This polynomial is cannot be factored with these rational numbers
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Answer:
3*4=12
Step-by-step explanation:
the answer is 12
Final answer:
To find out how many marbles Elliott has in total, we multiply the number of columns by the number of marbles in each column, resulting in 12 marbles in total.
Explanation:
To find out how many marbles Elliott has in total, we can multiply the number of columns by the number of marbles in each column. In this case, Elliott has 4 columns with 3 marbles in each column. So, we can calculate the total number of marbles by multiplying 4 and 3, which equals 12. Therefore, Elliott has 12 marbles in total.
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Answers
Answer:
52
Step-by-step explanation:
Let x represent the smallest of the three numbers. Then the other two are (x+2) and (x+4). Their sum is ...
x + (x+2) +(x+4) = 162
3x = 156 . . . . . . . . . . . .subtract 6
x = 156/3 = 52
The smallest of the three numbers is 52.
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I like to work problems like this by considering the average number. Here, the average of the three numbers is 162/3 = 54, the middle number of the three. Then the smallest of the three consecutive even numbers is 2 less, or 52.