Given two linear equations, explain how you can determine if the lines are parallel without graphing them
1 answer:
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Answer:
Step-by-step explanation:
<em>The </em><em>Remainder Theorem</em><em> states that when you divide a polynomial by a linear factor
, where
is a constant, the remainder is
evaluated at
</em>
<em>Moreover, according to the </em><em>Factor Theorem</em><em>, an extension of the Remainder Theorem, if the remainder of the function is </em><em>0</em><em> when evaluated at
, then
is said to be a factor of the polynomial
</em>
Given the 2 theorems above, it follows that if is a factor of
, then the remainder is equal to 0 when
is evaluated at
Which means
Third answer choice is correct.