Question

check whether the second polynomial is a factor of the first polynomial by applying division x3+11x2+23x-35, x2+4x-5​

Answer 1

Answer:

Explanation :

Factor theorem

If x - a is a factor of a function f ( x ) then x = a is a solution or zero of the function given .

Checking whether it holds true for f ( x )

x - 2 = 0

= > x = 2

Put this in f ( x )

x³ - x² - 4

= > 2³ - 2² - 4

= > 8 - 4 - 4

= > 8 - 8

= > 0

Hence f ( x ) = 0

This proves that x - 2 is a factor !

Hope it helps !

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