
Synthetic division is used since the equation is of the third degree. The divisors of -3 are 1, -1, 3, +3. So:
| 2 -7 8 -3
<u>1 | 2 -5 3</u>
| 2 -5 3 0
<u> 1 | 2 -3 </u>
2 -3 0
So the factorization is (x-1)² (2x-3)=0. So:


Synthetic division is used since the equation is of the third degree. The divisors of -4 are 1, -1, 2, -2, 4, -4. So:
| 1 -1 0 -4
<u>2 | 2 2 </u>
1 2 2 0
So the factorization is (x-2)(x²+x+2)=0 . When calculating the discriminant of the trinomial, it is concluded that it has no roots since the result is negative. So you only have one solution.


Synthetic division is used since the equation is of the third degree. The divisors of 2 are 1, -1, 2, -2. So:
| 6 7 9 2
<u>-2 | -12 10 -2</u>
6 -5 1 0
So the factorization is (x+2)(6x²-5x+1)=0 . The quadratic equation is solved by the general formula:


Answer: OPTION C.
Step-by-step explanation:
The systems of linear equations can have:
1. <u>No solution:</u> When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.
2. <u>One solution</u>: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system
3. I<u>nfinitely many solutions</u>: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.
Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts <em><u>never</u></em> have more than one solution.
The property that is illustrated is the Commutative Property Of Addition. This is because there are no parenthesis, the numbers switch order, and the answer remains the same.
It simplifies down to x + 4
Hope I helped C:
Answer:
y=-2x-4
Step-by-step explanation:
The slope has a Y-intercept at the -4, which narrows the choices down to 2. Since the slope is leaning left, it's a negative, which will make the answer to this y=-2x-4