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):
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-2 / 5 8 -7 -6
-10 4 6
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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.
<h3>Solution :-</h3>
➩ 70 = 12 + 9x - 2 ( x + 6 )
➩ 70 = 12 + 9x - 2x - 12
➩ 70 = 0 + 7x
➩ 70 = 7x
Here we can use 2 methods
Methods :-
- Trial and error method :- By adding,subtracting , multiplying or dividing the same variable or constant on LHS & RHS
- Transposing :- by transposing a term from LHS to RHS or RHS to LHS
• Trial and error
By dividing with 7 on both sides
➩ 70/7 = 7x/7
➩ x = 10
• Transposing
By transposing 7 from RHS. to LHS
➩ 70/7 = x
➩ x = 10
Hence , x = 10
Through the slope equation, we know that the slope, or m, is 2.
This gets us to y = 2x + b.
Next we plug in a point and get 4 = 2(3) + b, or b + 6 = 4, or b = -2.
This gives us our answer: y = 2x - 2.
Hope this helps!
The answer is 3:1, if you simplify the original answer 9:3
