QQuestionMathematics
QuestionMathematics
Which expression is a factor of x^2 −5x−6?
A. (x+ 1)
B. (x−2)
C. (x−3)
D. (x−6)
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Answer
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Step 1:Let's solve this step by step:
Step 2:: To determine which expression is a factor, we'll use the factor theorem.
This states that (x - a) is a factor of a polynomial p(2$) if and only if p(2$) = 0.
Step 3:: Let's test each option by substituting the value into the original polynomial x^{2} - 5x - 6.
Step 4:: Test A: (x + 1)
= 0
(- 1)^{2} - 5(- 1) - 6 Since this equals 0, (x + 1) is a factor.
Step 5:: For completeness, let's quickly check the other options:
= 60$$ (not a factor)
B: (x - 2) C: (x - 3) D: (x - 6)
Final Answer
A. (x + 1)
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