Answer:
Step-by-step explanation:
Whether we divide using long division or using synthetic division, the rule is the same: If, after division, there is no remainder (i. e., the remainder is zero), the divisor binomial is a factor or the associated root is indeed a root/zero/solution.
Divide 5x³+8x²-7x-6 by (x+2) using synthetic division. Use the divisor -2 (which comes from letting x+2 = 0):
--------------------------
-2 / 5 8 -7 -6
-10 4 6
------------------------------
5 -2 -3 0 Since the remainder here is 0, we know that
-2 is a root of 5x³+8x²-7x-6 and that (x+2) is
a factor of 5x³+8x²-7x-6.
Now check out the possibility that (x+1) is a factor of 5x^3 + 8x^2 - 7x - 6:
Use -1 as the divisor in synthetic division:
--------------------------
-1 / 5 8 -7 -6
-5 -3 10
------------------------------
5 3 -10 4
Since there is a non-zero remainder (4), we can conclude that (x + 1) is NOT a factor of the given polynomial expression.
Answer:
342.85714 %
Step-by-step explanation:
Percentage increase is given by
increase= (new - original)/ original * 100 %
The new is 186 and the original is 42
= (186 - 42)/ 42 * 100 %
=144/42* 100 %
=3.42857 * 100%
=342.85714 %
Answer:
yur
Step-by-step explanation:
36/40 is the same as 9/10.
36 goes into four, nine times. 36 / 4 = 9.
40 goes in four, ten times. 40 / 4 = 10.
If you are dividing a number by a fraction, lets say the numerator, then the same number you divided has to be divided by the denominator.
For example:
5/30
The numerator 5 goes into five, one time, because 5 / 5 = 1
You divide the same number 5, for the denominator also.
30 goes into five, six times, because 30 / 5 = 6
The simplest form of 5/30 is 1/6.
Hope this helps!
-AphmauSenpai-
