Question

Check whether the first polynomial is a factor of the second polynomial by dividi
second polynomial by the first polynomial:
i) X2+3x+1 divided by 3x4+5x3-7x2+2x+2​

Answer 1

Answer:3x^2-4x+2

Step-by-step explanation:

x^2+3x+1)3x^4+5x^3-7x^2+2x+2(3x^2-4x+2

3x^4+9x^3+3x^2

(-) (-) (-)

------------------------------------

-4x^3-10x^2+2x+2

-4x^3-12x^2-4x

(+) (+) (+)

-----------------------------------

2x^2+6x+2

2x^2+6x+2

(-) (-) (-)

---------------------

0

----------------------

Hence, checked that the first polynomial is a factor of the second polynomial.