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:
See below
Step-by-step explanation:
<u>Given</u><u> </u><u>:</u><u>-</u><u> </u>
<u>To </u><u>Prove</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Proof</u><u> </u><u>:</u><u>-</u><u> </u>
Here we are required to prove that ,
And here it's given that , y || z . Therefore ,
- ∠3 = ∠6 ( alternate interior angles )
- ∠1 = ∠5 ( alternate interior angles )
Now we know that the measure of a straight line is 180°. Therefore ,
Hence Proved !
Step-by-step explanation:
Quadrant 1 is when the x axis and y axis is both positive.
Quadrant 2 is when the x axis is negative and the y value is positive.
Quadrant 3 is when the x axis and y axis is negative.
Quadrant 4 is when the x axis is positive and y value is negative.
When the point is on the x axis that means it y intercept is 0.
When the point on the y axis, it x intercept is 0.
2,4 is in quadrant 1
0,-3 is y axis
-1,1/2 is in the second quardrant