Practice Questions for Algebra - Quadratic Equations

1. PE 4 - Quadratic Equation | Algebra - Quadratic Equations

If 3x³ – 9x² + kx –12 is divisible by x – 3, then it is also divisible by:

2. PE 4 - Quadratic Equation | Algebra - Quadratic Equations

When ${(1 - \frac{1}{a})}^{6}$ is expanded, the sum of the last three coefficients is:

3. PE 4 - Quadratic Equation | Algebra - Quadratic Equations

For what value(s) of k does the pair of equations y = x² and y = 3x + k have two identical solutions?

4. PE 4 - Quadratic Equation | Algebra - Quadratic Equations

A man born in the first half of the nineteenth century was x years old in the year x². He was born in:

5. PE 4 - Quadratic Equation | Algebra - Quadratic Equations

The values of y which will satisfy the equations
2x² + 6x + 5y + 1 = 0
2x + y + 3 = 0
may be found by solving:

6. PE 4 - Quadratic Equation | Algebra - Quadratic Equations

The sum of the roots of equation 4x² + 5 – 8x = 0 is equal to:

7. PE 4 - Quadratic Equation | Algebra - Quadratic Equations

The solution of $\sqrt{5 x - 1}$ + $\sqrt{x - 1}$ = 2 is:

8. PE 4 - Quadratic Equation | Algebra - Quadratic Equations

The sum of all the roots of 4x³ – 8x² – 63x – 9 = 0 is:

PE 4 - Quadratic Equation | Algebra - Quadratic Equations