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What is the factorization of the trinomial below -x2 plus 2x plus 48?
-x2 + 2x + 48 = (-x - 6)(x - 8)
What is the factored form of 3x2 plus 6x-24?
3x2 + 6x - 24First factor out any common factors of the three terms. In this case, each term is a multiple of 3. So,3x2 + 6x - 24 = 3(x2 + 2x - 8)Next, use the reverse FOIL method to factor the polynomial in the parenthesis (x2 + 2x - 8). x2 factors out to x * x:(x + ??)(x + ??)Now, we must find two numbers that add to get 2 (from the 2x) and multiply to get -8. Those numbers are -2 and 4. So,(x2 + 2x - 8) = (x - 2)(x + 4)So,3x2 + 6x - 24 = 3(x - 2)(x + 4)
How do you solve absolute value equations with x on both sides?
Possible example: 2|x| = x2 - 8 For x>=0, x2 - 2x - 8 = 0 (x-4)(x+2)=0 so x=4 (can't be -2 since x>=0) For x<0, x2 + 2x - 8 = 0 (x-2)(x+4)=0 so x=-4 (can't be 2 since x<0)
What is The area of the region bounded between y equals x2 plus 2x-3 and y equals 4x plus 45?
First, you'll need to find the x co-ordinates of the two points where that line and curve intersect:y = x2 + 2x - 3y = 4x + 45∴ x2 + 2x - 3 = 4x + 45∴ x2 - 2x - 48 = 0∴ (x - 8)(x + 6) = 0∴ x1 = -6, x2 = 8Now let's figure out which one of the two is higher on the y axis. This can be done by taking any point within the range and seeing which of the two equations has a higher value. Zero is between those points, and a fairly easy one to calculate, so let's try that:02 + 2·0 - 3 = -34·0 + 45 = 45So the line has the higher value. This means we'll need to take the area under the curve, and subtract it from the area under the line. This can be done by taking their definite integrals for the range -6 to 8, and subtracting the result for the curve from the result for the line.A = ∫-68 (4x + 25) dx - ∫-68 (x2 - 2x - 48) dx∴ A = (2x2 + 25x)|-68 - (x3/3 - x2 - 48x)|-68∴ A = [(2·64 + 25·8) - (2·36 + 25·-6)] - [(512/3 - 64 - 48·8) - (-216/3 - 36 - 48·-6)]∴ A = (128 + 200 - 72 - 150) - (170 2/3 - 64 - 384 +72 + 36 - 288)∴ A = 106 - (-457 1/3)∴ A = 563 1/3
7x 3-2x if x 8?
7x+3-2x= if x=8 5x+3 5(8)+3 40+3 =43
X2 plus 2X equals 8 completing the square?
I think this is how you do it: x2+2x = 8 x2+2x+(1/2*(2))2 = 8 + (1/2*(2))2 x2+2x+1=8+1 (x+1)2 = 9 SQ.ROOT [(x+1)2 = 9] x+1 = 3 and x+1 = -3 so, x=2 and x=-4
2x squared plus 2x minus 8 equals?
2x2 + 2x - 8 = 2(x2 + x - 4). This can take any value greater than or equal to -8.5
What is the vertex of the graph of the function y equals x2-4x plus 3?
To find the extreme value of the parabola y = x2 - 4x + 3 ...(1) Take the derivative of the equation.y = x2 - 4x + 3y' = 2x - 4(2) Set the derivative = 0 and solve for x.y' = 2x - 40 = 2x - 42x = 4x = 4/2x = 2(3) Plug this x value back into the original equation to find the associated y coordinate.x = 2y = x2 - 4x + 3y = (2)2 - 4(2) + 3y = 4 - 8 + 3y = -1So the vertex is at (2, -1).
What is the factor of x2 plus 2x-48?
x2 + 2x - 48 = x2 + 8x - 6x - 48 = x(x + 8) - 6(x + 8) = (x - 6)(x + 8)
What is the value of x if given x-3 and 2x-8?
If you mean: x-3 = 2x-8 then the value of x works out as 5
What is the factorization of this trinomial -x2 - 2x plus 48?
-x2 + 2x + 48 = (-x - 6)(x - 8)
What is the factorization of this trinomial -x2 plus 2x plus 48?
-x2 + 2x + 48 = (x +6)(8 - x)
X2 plus 3x-7 equals 5x plus 8?
x^(2) + 3x - 7 = 5x + 8 Subtract '8' from both sides Hence x^(2) + 3x - 15 = 5x Subtract '5x' from both sides Hence x^(2) -2x - 15 = 0 It is now in quadratic form and will factor. Hence ( x -5)(x + 3) = 0 x = 5 & x = -3
Can you find the x intercept of the trinomial -x2-2x 8 for me please?
Do you mean -x2-2x+8 = 0 Then if so the x intercepts are -4 and 2
What is the factorization of the trinomial below -x2 plus 2x plus 48?
-x2 + 2x + 48 = (-x - 6)(x - 8)
Factor Completely x3 plus 8?
x3 + 8 = x3 + 23 = (x + 2)(x2 + 2x + 22) = (x + 2)(x2 + 2x + 4)
Solve x plus 7 divided by x minus 2 equals x plus 4 divided by x minus 3?
x + 7 / x - 2 = x + 4 / x - 3(times both sides by x - 3 and x - 2)(x + 7)(x - 3) = (x + 4)(x - 2)x2 + 7x - 3x - 21 = x2 + 4x - 2x - 8x2 + 4x - 21 = x2 + 2x - 8(- x2 from both sides)4x - 21 = 2x - 8(- 2x from both sides)2x - 21 = -8(+ 21 on both sides)2x = 13(divide both sides by 2)x = 6.5
