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What is the vertex of -2x2 plus 2x plus 3?
Since this question is in the calculus section, I'm assuming you know how to take the derivative. We know that y = -2x2 + 2x + 3 is a parabola, so it has one vertex, which is a minimum. We can use the first derivative test to find this extreme point.First, take the derivative:y' = -4x + 2Next, set y' equal to zero:0 = -4x + 2Then solve for x:4x = 2x = 2This is the x-coordinate of the vertex. To find the y-coordinate, plug x = 2 back into the original equation:y = -2x2 + 2x + 3y = -8 + 4 + 3y = -1So the vertex is at (2, -1).
Factor 4x4 plus 1?
4x4 + 1 = (2x2 - 2x + 1)(2x2 + 2x + 1)
Vertex for y equals x2 plus 2x plus 1?
The vertex is at (-1,0).
How do you factor 2x squared plus 11x plus 12?
2x2 + 11x + 12 = 2x2 + 3x + 8x + 12 = x*(2x + 3) + 4*(2x + 3) = (2x + 3)*(x + 4)
What are the factors of 4x3 plus 10x2 plus 2x plus 5?
4x3+10x2+2x+5= (2x+5)(2x2+1)
What is the vertex of -2x2 plus 2x plus 3?
Since this question is in the calculus section, I'm assuming you know how to take the derivative. We know that y = -2x2 + 2x + 3 is a parabola, so it has one vertex, which is a minimum. We can use the first derivative test to find this extreme point.First, take the derivative:y' = -4x + 2Next, set y' equal to zero:0 = -4x + 2Then solve for x:4x = 2x = 2This is the x-coordinate of the vertex. To find the y-coordinate, plug x = 2 back into the original equation:y = -2x2 + 2x + 3y = -8 + 4 + 3y = -1So the vertex is at (2, -1).
What is 2x squared plus 2x?
2x2 + 2x = 2x(x+1)
Factor 4x4 plus 1?
4x4 + 1 = (2x2 - 2x + 1)(2x2 + 2x + 1)
Which is the vertex for y equals 2x - 7?
-5
Vertex for y equals x2 plus 2x plus 1?
The vertex is at (-1,0).
How do you factor 2x squared plus 11x plus 12?
2x2 + 11x + 12 = 2x2 + 3x + 8x + 12 = x*(2x + 3) + 4*(2x + 3) = (2x + 3)*(x + 4)
What are the factors of 4x3 plus 10x2 plus 2x plus 5?
4x3+10x2+2x+5= (2x+5)(2x2+1)
What is 2x2 plus 3x plus 1 factored?
2x2 + 3x + 1 = (x + 1)(2x + 1)
How do you factor this 2x2 plus 13x plus 15?
2x2+13x+15 = (2x+3)(x+5)
What is the vertex of the graph y-2x2 8x-3?
y=-2x^2+8x+3
What is the factorization of the trinomial -2x3 plus 2x2 plus 12x?
-2x3 + 2x2 + 12x =(-2x) (x2 - x - 6) =(-2x) (x+2) (x-3)
What is the factorization of this trinomial 2x2 plus 21x plus 49?
2x2 + 21x + 49 = 2x2 +14x +7x + 49 = 2x(x + 7) + 7(x + 7) = (2x + 7)(x + 7)
