Factorise the quadratic equation x^2 + 7x + 10.
What is the factorised form of x^2 + 5x + 6?
Factorise the quadratic expression x^2 - x - 20.
Factorise the following expression: 3x^2 - 12x
Rewrite the quadratic equation 3x^2 - 18x = 0 in its factorised form
Match the quadratic functions to their factorised forms.
| Stavka koja se može prevući | arrow_right_alt | Odgovarajuća stavka |
|---|---|---|
y = x² - x - 2 | arrow_right_alt | y = (x - 2)(x - 5) |
y = x² + 2x - 3 | arrow_right_alt | y = (x + 3)² |
y = x² - 7x + 10 | arrow_right_alt | y = (x - 1)(x + 3) |
y = x² + 6x + 9 | arrow_right_alt | y = (x - 2)(x + 1) |
Match the quadratic equations with their roots.
| Stavka koja se može prevući | arrow_right_alt | Odgovarajuća stavka |
|---|---|---|
x² - 4x - 5 = 0 | arrow_right_alt | -2, -5 |
x² - 5x + 6 = 0 | arrow_right_alt | 4, -5 |
x² + 7x + 10 = 0 | arrow_right_alt | 2, 3 |
x² + x - 20 = 0 | arrow_right_alt | 5, -1 |
Determine if the quadratic function f(x) = -x^2 + 4x - 5 is concave up or concave down
Find the y-intercept by factorising the equation y = 3x² + 5x - 2.
What is the y-intercept of the quadratic function f(x) = x² - 6x + 9?
Identify the y-intercept for the quadratic equation y = -2x² + 4x + 1.
Determine the y-intercept in the quadratic function y = 5x² - 3x + 7.
Find the axis of symmetry for the quadratic function y = x^2 + 2x - 3.
What is the axis of symmetry of y = -2x^2 + 8x - 5?
Identify the axis of symmetry of the equation y = 3x^2 - 6x + 2.
Locate the axis of symmetry for y = -3x^2 + 12x - 7.
Find the vertex of the quadratic function y = x^2 + 6x + 8.
Identify the vertex of y = -2x^2 + 4x - 3.
What are the coordinates of the vertex for the quadratic y = 3x^2 - 18x + 20?
Solve for x
Solve for x
Fully factorise and solve for x
Use the quadratic formula to solve:
State the discriminant in terms of algebra
Determine the number of solutions in the following quadratic:
For this quadratic function. Determine the y-intercept and the solutions.
Find the equation of the axis of symmetry for this quadratic:
Find the coordinates of the vertex for this quadratic:
Rewrite this quadratic
in the vertex form
A rectangle has length 5cm greater than its width and its area is 84cm^2. Find the dimensions of the rectangle.
Two positive numbers differ by 3 and the difference between their reciprocals is 4. Find the exact values of the numbers.
In a right angled triangle, the second longest side is 5cm longer than the shortest side, and the hypotenuse is three times the length of the shortest side. Find the exact length of the hypotenuse.