Of the following options, what could be a possible first step in solving the equation -7x -5= x + 3
2 answers:
Answer:
Option a) Adding 7x to both the sides
Step-by-step explanation:
Given is an equation linear in one variable x.
To solve this equation we have to bring x terms on one side and constants on the other side.
Subtracting 5 from both sides will not eliminate the constant -5 hence wrong.
Adding x to both sides will make right side as 2x instead of eliminating x.
Combining like terms will give -7x-x not -7x+x hence incorrect
Adding 7x to both sides gets rid of x term on the left.
Hence this option is right answer
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Answer:
Not a factor
Step-by-step explanation:
We can use Factor Theorem to answer this question. According to this theorem, in order to find if (x - a) is a factor of a polynomial f(x), calculate f(a). If f(a) comes out to be equal to zero, this will mean that (x-a) is factor of f(x).
Here, the expression we have is (x + 7), so we need to find f(-7) in order to check if (x+7) is a factor of f(x) or not
Substituting x = -7, we get:
Since f(-7) ≠ 0, (x + 7) is not a factor of the polynomial f(x)