Question

check out whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial : x²-3,2x⁴+2x²-9x-12
Plz answer asap​

Answer 1

Step-by-step explanation:

(i) 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