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What is the value of p if x-2 is a factor of x2 – 6x + p ?

  • a)
    4

  • b)
    -4

  • c)
    8

  • d)
    -8

Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the value of p if x-2 is a factor of x2– 6x + p ?a)4b)-4...
If x-2 is a factor of x^2, it means that when x=2, the polynomial x^2 will equal zero.

Therefore, we can substitute x=2 into the polynomial x^2 and set it equal to zero:

(2)^2 = 0
4 = 0

Since 4 does not equal zero, it means that x-2 is not a factor of x^2. Therefore, there is no value of p that would satisfy the given condition.
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Community Answer
What is the value of p if x-2 is a factor of x2– 6x + p ?a)4b)-4...
Zero of the polynomial is x-2 = 0 => x= 2 (2)²-6(2)+p = 4-12 +p = - 8+p=0 = p = 8
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