By applying division algorithm prove tha...

By applying division algorithm prove that the polynomial `g(x) = x^2 + 3x+1` is a factor of the polynomial `f(x) = 3 x^4 + 5 x^3 - 7 x^2 +2x +2`.

Similar Questions

Explore conceptually related problems

By applying division algorithm prove that the polynomial g(x)=x^(2)+3x+1 is a factor of the polynomial f(x)=3x^(4)+5x^(3)-7x^(2)+2x+2

Check whether the polynomial f(x)=x^(2)-3 is a factor of the polynomial g(x) where g(x)=2x^(4)+3x^(3)-2x^(2)-9x-12 .

Show that (x-3) is a factor of the polynomial x^(3)-3x^(2)+4x-12

Which of the following is a factor of the polynomial f(x) = 2x^(3) -5x^(2) + x + 2 ?

Show that 2x+1 is a factor of polynomial 2x^(3)-11x^(2)-4x+1

One of the factors of the polynomial? x^(4) - 7x^(3) + 5x^(2) - 6x + 81 is:

The polynomial x^(3) -4x^(2) + x -4 on factorization gives

Find the value of a if x - a is a factor of the polynomial x^(5)-ax^(4)+x^(3)-ax^(2)+2x+3a-2 .

Divide the polynomial g(x) = x^3 - 3x^2 + x + 2 by the polynomial x^2 - 2x + 1 and verify the division algorithm.

Find the value of a if (x -a) is a factor of the polynomial x^(6)-ax^(5)+x^(4)-ax^(3)+3x-a+2