[" 7."9x^(4)-6x^(3)b+x^(2)b^(2)],[" 9."x^(2)+81+18x]

Find the HCF of the polynomials f(x)= 6(x^(3) +3x^(2)) (x^(2)-16) (x^(2) + 9x + 18) and g(x) = 8(x^(4) + 4x^(3)) (x^(2) + 6x + 9)^(2)

Subtract: (i) 5a + 7b - 2c from 3a - 7b + 4c (ii) a - 2b - 3c from -2a + 5b - 4c (iii) 5x^(2) - 3xy + y^(2) from 7x^(2) - 2xy - 4y^(2) (iv) 6x^(3) - 7x^(2) + 5x - 3 from 4 - 5x + 6x^(2) - 8x^(3) (v) x^(3) + 2x^(2) y + 6xy^(2) - y^(3) from y^(3) - 3xy^(2) - 4x^(2) (vi) -11 x^(2) y^(2) + 7xy - 6 from 9x^(2) y^(2) - 6xy + 9 (vii) -2a + b + 6d from 5a - 2b - 3c

Divide 6x^(4) - 9x^(3) + 18x^(2) " by " 3x

Evaluate lim_(x to sqrt(3)) (3x^(8) + x^(7) - 11x^(6) - 2x^(5) 9x^(4) - x^(3) + 35x^(2) + 6x + 30)/(x^(5) - 2x^(4) + 4x^(2) - 9x + 6)

Evaluate lim_(x to sqrt(3)) (3x^(8) + x^(7) - 11x^(6) - 2x^(5) - 9x^(4) - x^(3) + 35x^(2) + 6x + 30)/(x^(5) - 2x^(4) + 4x^(2) - 9x + 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

Verify the division algorithm for the polynomials p(x)=2x^(4)-6x^(3)+2x^(2)-x+2andg(x)=x+2 . p(x)=2x^(3)-7x^(2)+9x-13,g(x)=x-3 .

Divide 18x^(4) -15x^(3) + 24x^(2) + 9x " by " 3x

Factorise the following . ( I ) 2a^(2) +9a+10 (ii) 5x^(2) -29xy -42y^(2) (iii) 9-18x+8x^(2) (iv) 6x^(2) +16xy +8y^(2) (v) 12x^(2) +36x^(2) y +27y^(2) x^(2) (vi) (a+b) ^(2)+9( a+b) +18