Find the possible rational roots and use synthetic division to find the first zero.
I chose x=1 (which represents the factor "x-1")
1║2 -7 -13 63 -45
║ 2 -5 -18 45
2 -5 -18 45 0
(x-1) is a factor, (2x³ - 5x² - 18x + 45) is the other factor.
Use synthetic division on the decomposed polynomial to find the next zero.
I chose x = 3 (which represents the factor "x-3")
3║2 -5 -18 45
║ 6 3 -45
2 1 -15 0
Using synthetic division, we discovered that (x-1), (x-3), & (2x² + x -15) are factors. Take the new decomposed polynomial (2x² + x -15) and find the last two factors using any method.
Final Answer: (x-1)(x-3)(x+3)(2x-5)
Answer:
.
Step-by-step explanation:
We know that
compresses f(x) vertically such that
- if 0 < a < 1 (a fraction), the graph is compressed vertically by a factor of a units.
- if a > 1, the graph is stretched vertically by a factor of a units.
If we vertically compress the linear parent function, F(x) = x, by multiplying by
.
Then, the equation of the new function is
.
i.e.
.