Question

Check whether (x-2) is factor of x^3-2x^2-5x+4
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Answer 1

Answer:

I would suggest you to just try to divide the polynomials if the reminder is 0 then it is the factor.

Step-by-step explanation:

x-2 ) x^3-2x^2-5x+4(

Answer 2

QUESTION: Check whether (x-2) is factor of x³- 2x²-5x + 4

SOLUTION: By using reminder theorem, we get:

$(x - 2) = 0 \\ x = 0 + 2 \\ x = 2$

=> p(x) = x³- 2x²-5x + 4

Putting the value of x

=> p(2) = (2)³ - 2(2)² - 5(2) + 4 = 0

=> p(2) = 8 - 8 - 10 + 4 = 0

=> p(2) = -6 = 0

As -6 is not equal to 0

Hence, (x - 2) is not the factor of x³- 2x²-5x + 4