`3x^2+14x+8`

In the xy-plane, the graph of y = 3x^2 − 14x intersects the graph of y = x at the points (0, 0) and (a, a). What is the value of a ?

What polynomial must be added ot 7x^2 + 14x - 8 to result in a sum of 5x^2 + 18x + 1 ?

solve x^3 -9x^2 + 14x+ 24 =0 given that two of the roots are in the ratio 3:2

How much does 3x^2-14xy+8y^2 exceed x^2+3xy+4y^2-2xy^2

Find the value of p, for which one root of the quadratic equation px^2-14x + 8 = 0 is 6 times the other.

solve x^3-7x^2+14x-8=0 given that the roots are in geometric progression.

Show that (x - 1) is a factor of x^(3)-7x^(2)+14x-8 Hence, completely factorise the given expression.

If the roots of the equation x^(3) - 7x^(2) + 14x - 8 = 0 are in geometric progression, then the difference between the largest and the smallest roots is

Find a and b so that x^3+ax^2+11x+6 and x^3+bx^2+14x+8 may have one common factor of the form x^2+px+q .