Answer:
2x² − 4x + 3
Step-by-step explanation:
x = 2/3 is a root of both the numerator and the denominator, so it divides evenly. Therefore, one method is to factor by grouping:
6x³ − 16x² + 17x − 6
6x³ − 4x² − 12x² + 17x − 6
2x² (3x − 2) − (12x² − 17x + 6)
2x² (3x − 2) − (4x − 3) (3x − 2)
Divided by 3x − 2:
2x² − (4x − 3)
2x² − 4x + 3
Another method is to use long division (see image).
Answer:
c
Step-by-step explanation:
the function (x) = -3x+2 can be obtained by :
* stretching the function (x)=x in the y-axis by 3 units gives 3x
* then reflecting about x-axis gives -3x
* finally shifting it up by 2 units gives -3x+2
so the parent function is f(x) = x
Answer: y=-x-1
Step-by-step explanation:
To find the answer, 5 and -6 have to be substituted in the place of x in the equation y = -x + b(The slope has to be the same because the line is parallel). -6 = -5 + b, b = -1. This means that the equation is y = -x - 1.