Question

Check whether the first polynomial is factor of the Second polynomial by, dividing the second polynomial by the first polynomial 3x²-2x+1,x⁴-7x³+5x²-3​

Answer 1

Step-by-step explanation:

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Answer 2

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t

2

−3,2t

4

+3t

3

−2t

2

−9t−12

Remainder is 0, hence t

2

−3 is a factor of 2t

4

+3t

3

−2t

2

−9t−12

(ii) x

2

+3x+1,3x

4

+5x

3

−7x

2

+2x+2

Remainder is 0, hence x

2

+3x+1 is a factor of 3x

4

+5x

3

−7x

2

+2x+2

(iii) x

3

−3x+1,x

5

−4x

3

+x

2

+3x+1

Remainder is 2, hence x

3

−3x+1 is not a factor of x

5

−4x

3

+x

2

+3x+1

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