
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:
y = -1/4x - 5/2.
Step-by-step explanation:
I am assuming you mean y = -1/4x + 5.
This has slope of -1/4 so the required equation has the same slope ( as they are parallel).
Using the point-slope form of the equation of a line:
y - (-3) = -1/4(x - 2)
y + 3 = -1/4(x - 2)
y = -1/4x + 1/2 - 3
y = -1/4x - 5/2
Answer:
a mile
Step-by-step explanation:
Sophia walked
of a mile
Layla walked
of a mile

Layla walked
more of a mile than Sophia
Sum means add
difference means subttract
x+y=1
x-y=11
add the 2 equations together
2x+0y=12
divide 2
x=6
subitute
6+y=1
subtract 6
y=-5
x=6
y=-5
Answer:
12.025
Step-by-step explanation:
h=v/(π*r square)
divide the volume of a cylinder by the amount of the radius squared multiplied by π(pi)
340÷(π×3square)
giving you 12.025
(original in calculator=12.02504014)
but it is 12.025