x^(3)-79x-30

x^(3)-19x-30

Show that (x-5) is a factor of x^(3)-3x^(2)-4x-30 .

(6x^(3)-27x^(2)+30x-20)-:(3x^(2)-6x)

If the rate of change in y=(x^(3))/(3)-x^(2)-30x is 5 times the rate of change in x, then :x =

Find the GCD of 6x^(3) -30x^(2) + 60 x-48 and 3x^(3)-12x^(2) + 21x-18 .

On comparing the ratios (a_(1))/(a_(2)),(b_(1))/(b_(2)) and (c_(1))/(c_(2)), find out whether the following pair of linear equations are consistent,or inconsistent.(i) 3x+2y=5;2x-3y=7( ii) 2x-3y=8;4x-y=9 (iii) (3)/(2)x+(5)/(3)y=7;9x-10y=14( (iv) 5x-3y=11;-10x+6y=-22( v) (4)/(3)x+2y=8;2x+3y=12

If roots of x^(2)-(a-3)x+a=0 are such that at least one of them is greater than 2 then a in[7,9] b.a in[7,oo] c.a in[9,oo] d.a in[7,9]

Factorize: 2x^3-3x^2-17x+30

Three angles of a triangle are (x+30^@), 2x, (3x-30^@) then |__ x =___