By polynomial grid division, we start by the divisor x²-3x+4 placed on the row headings of the table and end with the quotient -2x + 5 on the column headings as given. We know that -2x³ must be in the top left which means that the first column entry is indeed -2x. So the row and column multiply to -2x³. We use this to fill in all of the first column, multiplying -2x by the terms of the row entries.
-2x 5
x² -2x³
-3x 6x²
4 -8x
We now got 6x² though we want 11x². The next quadratic entry must then be 5x² so that the overall sum is 11x². Multiplying 5 by the terms of the row entries, we fill in all of the second column:
-2x 5
x² -2x³ 5x²
-3x 6x² -15x
4 -8x 20
The bottom and final term is 20, which is our desired answer and we can read the quotient off the first row:
-2x³ +11x² - 23x + 20 / x² - 3x + 4 = -2x + 5
We have calculated for all the terms that belong in table, therefore, the terms 5x² and 6x² belong in the shaded cells.
The value of a is 
Step-by-step explanation:
<u>1. Determine the other solution of x</u>
If one value is 5 +
then the other value is 5 - 
<u>2. Use reverse technique to find the equation</u>
(5 +
) (5 -
) = 0
25 -
+
-
= 0
-
+ 25 = 0
<u>3. The equation is</u> -
+ 25 = 0
<u>4. Find the value of a</u>
a is the number with the variable
therefore it is - 
Keyword: quadratic equation, solution
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Answer: 145
Step-by-step explanation:
(−72)(−23)
−72(−23)
1423
£0.7
Explanation:
3.50 x 0.2 = 0.7