2x^(^^)3-3x^(^^)2+7x-6

Use the remainder theorem to factorise the expression 2x^(3) + x^(2) + 7x-6 . Hence, solve the equation 2x^(3) + 9x^(2) + 7x-6=0

Without actual division , prove that (2x^(4)+3x^(3)-12x^(2)-7x+6) is exactly divisible by (x^(2)+x-6) .

From the sum of 6x^(4) - 3x^(3) + 7x^(2) - 5x + 1 and -3x^(4) + 5x^(3) - 9x^(2) + 7x - 2 subtract 2x^(4) - 5x^(3) + 2x^(2) - 6x - 8

Factorise each of the following polynomials using synthetic division: (i) x^(3) -3x^(2) -10x +24 (ii) 2x^(3) -3x^(2) -3x +2 (iii) -7x +3+4x^(3) (iv) x^(3) +x^(2) -14x -24 (v) x^(2) - 7x+ 6 ( vi ) x^(3) -10x ^(2) -x+ 10

Factorize :x^(3)+3x^(2)+3x-7x^(3)-3x^(2)+3x+7x^(6)-7x^(3)-8

If (x)=x^(9)-6x^(8)-2x^(7)+12x^(6)+x^(4)-7x^(3)+6x^(2)+x-3 find f(6) .