Question

if one of the factor of polynomial (X)= X² + X - 6 is x-2,then the value of other factor is:
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Answer 1

Step-by-step explanation:

your answer is in the attachment

Answer 2

The value of the other factor is (x+3)

Given:

Polynomial p(x)= x² + x - 6  

One of the factor is x-2

To find:

The value of other factor  

​Solution:

Given Polynomial p(x)= x² + x - 6  

Given one its factor is x-2

To find the factors of p(x) do the factorization as given below

p(x)= x² + x - 6  

Split x as 3x - 2x     [ ∵ 3 × - 2 = -6 ]  

⇒ x² +3x - 2x - 6  

⇒ x (x+3) -2(x+3)

⇒ (x+3)(x-2)

The factors of given p(x) are (x+3)(x-2)

Therefore, the value of the other factor is (x+3)

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