`4x^3-7x^2-x-2`

Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial : x^2+3x+1,3x^4+5x^3-7x^2+2x+2

Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:(ii) x^2+3x+1,3x^4+5x^3-7x^2+2x+2

Classify the following polynomials as linear quadratic, cubic and biquadratic polynomials 7x^4+5x^3+7x^2-2

Find the polynomial equation whose roots are the reciprocals of the roots of x^4-3x^3+7x^2+5x-2=0

Find the polynomial equation whose roots are the reciprocals of the roots of x^4-3x^3+7x^2+5x-2=0

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 first polynomial is a factor of the second polynomial by applying the division algorithm : x^2+3x+1,3x^4+5x^3-7x^2+2x+2 .

If alpha,beta,gamma are the roots of 4x^(3)-7x^(2)+2x-6=0 then the equation whose roots are (alpha)/(2)*(beta)/(2),(gamma)/(2) is

(i) Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: t^2-3,2t^4+3t^3-2t^2-9t-12 (ii) Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial x^2+3x+1, 3x^4+5x^3-7x^2+2x+2 (iii) Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial: x^3-3x+1, x^5-4x^3+x^2+3x+1

Factors of 4x^(3)-7x^(2)-34x-8 are