Please I need help to do this
2 answers:
Hey there! Hello!
For this problem, I'm assuming you need help figuring out what quadrants contain which positive and negative plot points, and I can certainly help with that.
I have attached a quick little drawing I did of the different quadrants' labels and their corresponding positive and negative numbers, if that makes any sense. Keep in mind that when you cross the y-axis (the vertical one) from the right to the left side, your x-value will be negative. Same goes for the y-value, except it will be positive on the top and negative on the bottom.
Hope this helped you out! Feel free to ask any additional questions if you have any, or if you still need help figuring out which point on your worksheet goes in which quadrant. :-)
For this problem, I'm assuming you need help figuring out what quadrants contain which positive and negative plot points, and I can certainly help with that.
I have attached a quick little drawing I did of the different quadrants' labels and their corresponding positive and negative numbers, if that makes any sense. Keep in mind that when you cross the y-axis (the vertical one) from the right to the left side, your x-value will be negative. Same goes for the y-value, except it will be positive on the top and negative on the bottom.
Hope this helped you out! Feel free to ask any additional questions if you have any, or if you still need help figuring out which point on your worksheet goes in which quadrant. :-)
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Answer:
x⁴+2x³ +3x²+6x +12 r.
Step-by-step explanation:
You can do this through synthetic division. It is a shorthand way of dividing polynomials.
First you need to make your divisor equal to zero so you can solve for what goes into the division box:
x - 2 = 0 → x = 2
The next step is to arrange your polynomials in descending powers. All missing terms, you will put in a zero.
x⁵ - x³ + (-5) → x⁵ + 0x⁴- x³ + 0x² + 0x + (-5)
Now you can proceed to synthetic division. Make an upside down division box with the divisor outside and the coefficients of the dividend listed, along with their sign. Leave a space below the divident
+2 | +1 0 -1 0 0 -5
|<u> </u>
Next you bring down the first coefficient:
+2 | +1 0 -1 0 0 -5
|<u> </u>
+1
Then you multiply it by the divisor and write the product under the next coefficient:
+2 | +1 0 -1 0 0 -5
|<u> +2 </u>
+1
Next add the column and put the sum below it:
+2 | +1 0 -1 0 0 -5
|<u> +2 </u>
+1 +2
Then multiply again and repeat until you reach the last coefficient:
+2 | +1 0 -1 0 0 -5
|<u> +2 +4 +6 +12 +24 </u>
+1 +2 +3 +6 +12 +19
Now that you have your results, add in the x and their powers. The powers will start with the highest power but 1 less than the dividend. Since the dividend's highest power is 5, then the quotient's highest power will be 4. Then write it in descending order :
+1x⁴ +2x³ +3x² +6x +12 +19
Now the last coefficient is your remainder. So your results will be:
x⁴+2x³ +3x²+6x +12 r.