" (a) "x^(2)-3x-28

Solve the following quadratic equation by factorisation method: (vi) x^2-3x-28=0 .

Solve the following quadratic equation by factorisation method: (vi) x^2-3x-28=0 .

Find the sum and product of the roots for each of the following quadratic equations x^(2)+3x-28=0

Solve the equation (x^(2)-3x)^(2)+3x^(2)-9x-28=0 for real roots.

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.

f(x)=3x^(3)+kx^(2)-32x+28 The function f is defined by the equation above where k is a nonzero constant. In the xy-plane the graph of f intersects the x-axis at three points: (-2, 0), ((3)/(2), 0), and (c, 0) . What is the value of k?

Check whether (x^(2)-11x+28) is a factor of the polynomial x^(3)-12x^(2)+39x-28 .