`2x^(2)-7x-15`

A function h is defined as follows : for x gt 0, h(x)=x^(7)+2x^(5)-12x^(3)+15x-2 for x le0, h(x)=x^(6)-3x^(4)+2x^(2)-7x-5 What is the value of h(-1) ?

(i) Is x=5 a solution of the equation x^(2)-2x-15=0 ? (ii) Is x=-3 a solution of the equation 2x^(2)-7x+9=0 ?

(i) If y= (x-1)/( 2x^(2) - 7x +5) , find (dy)/( dx) at x=2 .

p(x)=6x^(2)+7x-2 q(x)=2x^(2)+7x-1 Two polynomial functions p(x) and q(x) are defind above. Which of the following polynomial functions is divisible by 2x+5?

Evaluate the following limits : Lim_(x to 1) (x-1)/(2x^(2)-7x + 5)

Discuss the nature of the following quadratic equations without finding the roots i) x^(2)-12x+32=0 ii) 2x^(2)-7x+10=0 iii) 4x^(2)-20x+25=0 iv) 3x^(2)+7x+2=0

Identify which of the following expressions are polynomials. If so, write their degrees. (2)/(3)x^(4)-7x+15

For what values of x in R , the following expressions are negative i) -6x^(2)+2x -3 ii) 15+4x-3x^(2) iii) 2x^(2)+5x -3 iv) x^(2)-7x+10

Factorise : 2x^(2) - 7x + 6

The domian of definition of f (x) = log _((x ^(2) -x+1)) (2x ^(2)-7x+9) is :