Graph the expression `4-5x-x^(2)`.

Graph the expression x^(2)+x-6 .

For all real values of x, the maximum value of the expression 3-5x-2x^(2) is

Write the numerical coefficient of each term of the expression : x^(4)-5xy^(2)+7x^(2)-(2)/(3)x-(1)/(2) .

Which of the following is equivalent to the expression (2x^(4)-5x^(4))^(2)?

The expression 6x-5x^(2)-3x^(2) y is

Resolve into partial fractions the expression (8x^(3)-5x^(2)+2x+4)/((2x-1)^(2)(3x^(2)+4))

A function f(x) is defined for all real numbers by the expression (x - 1.5)(x - 2.5)(x - 3.5)(x - 4.5) . For which one of the following values of x, represented on the number line is f(x) negative? The graph is not drawn to scale.

Using the Factor theorem, show that (i) (x-2) is a factor of x^(3)-2x^(2)-9x+18 . Hence factorise the expression x^2-2x^2-9x+18 completely. (ii) (x+5) is a factor of 2x^3+5x^2-28x-15 . Hence factorise the expression 2x^3+5x^2-28x-15 completely. (iii) (3x+2) is a factor of 3x^(3)+2x^(2)-3x-2 . Hence factorise the expression 3x^3+2x^2-3x-2 completely.

Expand of the expression : (2/x-x/2)^5

If x is real, then the value of the expression (x^2+14x+9)/(x^2+2x+3) lies between (a) 5 and 4 (b) 5 and -4 (c) -5 and 4 (d) none of these