Question

1. Determine which of the following polynomials has (x+1) as a factor.
(i)x3 - x2 - x + 1
(ii) x4 - x3 + x2-x+1
(iii) x4 + 2x3 + 2x2 + x + 1
(iv) x3 - x2 - (3 - √13 ) x + √
13​

Answer 1

Answer:

4th is the right answer

Step-by-step explanation:

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Answer 2

Question :-

Write the coefficients of x2 in each of the following  -

(i) 2 + x^2 + x

(ii) 2 – x^2 + x3

(iii) (π/2)x^2 + x

(iv) √2x – 1

Answer :-

(i) The given polynomial is 2 + x^2 + x.

The coefficient of x^2 is 1.

(ii) The given polynomial is 2 – x^2 + x^3.

The coefficient of x^2 is -1.

(iii) The given polynomial is (π/2)x^2 + x.

The coefficient of x^2 is π/2.

(iv) The given polynomial is √2 x – 1.

The coefficient of x/2 is 0.

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