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

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

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

Obtain all zeros of the polynomial f(x)=2x^(4)-2x^(3)-7x^(2)+3x+6, if its two zeros are -sqrt((3)/(2)) and sqrt((3)/(2))

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

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

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

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

Simplify: 4x^(3)-2x^(2)+5x-1+8x+x^(2)-6x^(3)+7-6x+3-3x^(2)-x^(3)