The quotient in polynomial form is C. x² - x ₊ 1.
<h3>What is synthetic division?</h3>
In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.
The given problem is-
-3 | 1 2 -2 3
Using synthetic division method,
-3 | 1 2 -2 3
<u>| -3 3 3 </u>
|1 -1 1 6
So, the remainder from the calculation is 6 .
And the quotient polynomial is x² - x ₊ 1.
Hence, the correct answer for the given question is C. x² - x ₊ 1
More about Synthetic division method :
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The GCF is 5 so the new expression would be: 5(x+2)
Answer:
<A =21
<B = 84
<c = 75
Step-by-step explanation:
<A =x
<B = 4x
<C =5x-30
The sum of A+B+C = 180
x+ 4x + 5x-30 = 180
Combine like terms
10x -30 = 180
Add 30 to each side
10x-30+30 = 180+30
10x = 210
Divide by 10
10x/10 = 210/10
x= 21
Since x =21 we can find the value of the angles
Substituting x into the equations for angles A, B and C
<A =21
<B = 4x = 4*21 = 84
<C = 5x-30 = 5*21-30 = 105-30 = 75
Answer:
x = -1
Step-by-step explanation:
1. Simplifying
6x + 4 = 4x + 2
2. Reorder the terms
4 + 6x = 4x + 2 to 4 + 6x = 2 + 4x
3. Solving
4 + 6x = 2 + 4x
4. Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right. Then add '-4x' to each side of the equation.
4 + 6x + -4x = 2 + 4x + -4x
5. Combine like terms: 6x + -4x = 2x
4 + 2x = 2 + 4x + -4x
6. Combine like terms: 4x + -4x = 0
4 + 2x = 2 + 0
4 + 2x = 2
7. Add '-4' to each side of the equation.
4 + -4 + 2x = 2 + -4
8. Combine like terms: 4 + -4 = 0
0 + 2x = 2 + -4
2x = 2 + -4
9. Combine like terms: 2 + -4 = -2
2x = -2
10. Divide each side by '2'.
x = -1
11. Simplifying
x = -1
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