If the parabola is given by x2-5x+6, find the factors.
Question
If the parabola is given by x2-5x+6, find the factors.
Solution
To factorize the given quadratic equation x^2 - 5x + 6, we need to find two numbers that add up to -5 (the coefficient of x) and multiply to 6 (the constant term).
The two numbers that satisfy these conditions are -2 and -3 because:
-2 + -3 = -5 -2 * -3 = 6
Therefore, the factors of the quadratic equation x^2 - 5x + 6 are (x - 2) and (x - 3).
So, x^2 - 5x + 6 = (x - 2)(x - 3)
Similar Questions
Factorise the quadratic expression below: 𝑥2−6𝑥+5x 2 −6x+5
Factorize the quadratic expression: x^2 + 5x + 6
This question has 3 parts (a, b and c). A parabola has equation y = 2(x + 6)2 − 2.a. Expand and simplify to write the equation in the form y = ax2 + bx + c.b. Factor your equation from part a).c. Do the three equations represent the same parabola? Justify your response by making graphs. Attach image of the graph.
What are the x-intercepts and the vertex of the parabola represented by y = 2x2 - 5x -12?
The vertex of the parabola below is at the point (2, -5). Which of the equations below could be the one for this parabola?A.x = -4(y - 2)2B.y = (x + 2)2 - 5C.y = (x + 5)2 + 2D.y = (x - 2)2 - 5SUBMITarrow_backPREVIOUS
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.