Question

check whether p(x) is multiple of g of x or not. of x=2√2x^3-5√2x^2+7√2,g of x=x+1

Answer 1

Hello ❤️

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g ( x ) = x + 1

⇒ x = - 1

Now, putting the value of x in p (x) we get :

2 √ 2 x³ - 5 √ 2 x² + 7 √ 2

⇒ 2 √ 2 × ( - 1 )³ - 5 √ 2 × ( - 1 )² + 7 √ 2

⇒ - 2 √ 2 - 5 √ 2 + 7 √ 2

⇒ 7 √ 2 - 7 √ 2

⇒ 0

Hence, it is the multiple.

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Thanks 6!