Find the equation of the quadratic function in factored form that has roots 3 and -1 and passes through the point (1, -2)

Q: find the quadratic equation that goes through the points (2,-4), (3,-4), (0,2)

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Q: Find the roots of the equations 4x° + 77x' – 12x° + 7x° – 3x* – 42.x – 5x² +12x – 3 - - - -

A: 4x8+77x7-12x6+7x5-3x4-42x3-5x2+12x-3To Find: Roots of the equation.

Q: Find the quadratic equation if the roots are 3 and - 4.

A: Quadratic equation with roots a and b is x2-(sum of the roots)x + product of the roots =0…

Q: Solve for a V2x +17 = x +1

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Q: My neighbor and I like to kick a soccer ball back and forth to each other over the fence. If we each…

A: Consider the given scenario. Given that the neighbour's location in the picture is given by the…

Q: Find a quadratic equation whose product of roots x₁ and X2 equal to 4 and satisfying the relation X₁…

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Q: Form a polynomial equation with integral coefficients whose only roots are given. -1,2,-3

A: Given,           The roots of the polynomial are -1,2,-3

Q: Find the discriminant of the quadratic equation and describe the number and type of solutions of the…

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Q: use quadratic formula to solve: -2x2 - 5x + 3=0

A: Quadratic formula is used to solve any quadratic equation, i.e. an equation that can be written in…

Q: Write a polynomial equation with integral coefficients that has -2, 2, and 3 as roots.

A: if a, b, c are the roots of any polynomial equation, then Polynomial equation is given by,…

Q: Construct an equation whose roots are less than 4 of the roots of x'+3x –12x-10=0

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Q: What is the solution to this quadratic, -3x2 + 8x - 6 = 0 -4 +iv21 3 4±iv2 -4 2iv2 4 +iv2 {*}

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Q: Solve  equation.  45 - [4 - 2x - 4(x + 7)] =-4(1 + 3x) - [4 - 3(x + 2) - 2(2x - 5)]

A: Given equation : 45-4-2x-4x+7=-41+3x-4-3x+2-22x-5 Solve the above equation  we get ,…

Q: Solve for x : x4-6x2-8x +24=0

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Q: Find the roots of 2x quadratic equation - 2/x2 +1 = 0,if they exist using the

A: Given equation is 2x2-22x+1=0 find the roots of the quadratic equation

Q: Solve for standard form  X^2+ 4x+3

A: Given query is to find the standard form quadratic equation.

Q: Write a quadratic equation in standard form with roots -7/3 and 2 and passing through the point…

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Q: Find the quadratic equation whose roots are (3-j5) and (2 + j4).

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Q: Give any quadratic inequalities equation and solve it using case exploration method

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Q: Find three consecutive positive odd integers such that the square of the first is 9 more than 6…

A: Given : The square of the first is 9 more than 6 times the sum of the second and third

Q: Write a quadratic equation (in standard form) with roots 3+/2 2 3 - V2 and 2 As always, please show…

A: Authoring guidelines:…

Q: Write a quadratic equation in standard form with roots -- and 2 and passing through the point (0,…

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Q: Determine the equation of the quadratic with roots of of -32. +13 -2± √2 and that has a y-intercept

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Q: Solve for x : 3x^2 - 2x + 1=0

A: The given equation as  3x2 - 2x +1 =0

Q: Write a quadratic equation in standard form with - 4 and 3/2 as its roots. I 2x^2 - 5x - 12 = 0…

A: Given;           Roots of the quadratic equation are -4 and 32 Using the given roots, make a…

Q: Construct the equation with root -3 and -⅔ Using the formula method: x²-(sum of roots)x +(product of…

A: Given, roots of an equation -3 and -23   We have to construct the equation using the formula method:…

Q: Show that the sum of the roots of a quadratic equation is - b/a

A: To show that the sum of the roots of a quadratic equation is -ba.

Q: olo Compute the value of the discriminant and give the number of real solutions of the quadratic…

A: The discriminant, D , for the quadratic equation, is calculated using the formula, .

Q: Find the roots of -x3 + 9x2 -18x = 0

A: Solution: The objective is to find the roots of the given equation

Q: Form a polynomial equation of lowest degree with roots 5,-4 and 1.

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Q: Solve 2x3-2.5x-5=0 for the root in the interval [1,2] by Bisection method and False position Method.

A: The given equation, 2x3-2.5x-5=0

Q: Find the root of the following equation through Incremental search method

A: Given function is fx=x3−x−1. We have to find the root of the equation fx=x3−x−1 by using Incremental…

Q: The solutions of the quadratic equation 3z2 = 4x 17 are, O -4+v-137 -4+V-86 9. O 4+v-188 6. O -4+v-…

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Q: 10 -10 -5 10 -5 -10

A: If the graph of the quadratic function crosses the x-axis at two points then we have two solutions.…

Q: Determine a quadratic equation which passes through the points (0,10), (1, 6) and (-2, 24).

A: Let the standard form of the quadratic equation is y = ax2 + b x + c   where a, b and c are three…

Q: Solve for X: -3.1x + 7 - 7.4x = 1.5x - 6(x - 1.5)

A: Separate the numerical and variable terms on both sides  and just solve for x.

Q: Form the polynomial equation with integral coefficients whose only roots are given. -1,-3,2

A: The roots of the polynomial is:  -1,  -3,  2

Q: Assume the least square equation is ŷ = 10+20X. What does the value of 10 in the equation indicate?

A: Given: least square equation  ŷ = 10+20X Value of 10 in equation = ?

Q: find the quadratic equation with integral coefficients whose roots are 0 and -7.

A: we have to find the quadratic equation

Q: (x' +10)dx 2. x' – 2x² + 5x

A: ∫(x3+10)(x3-2x2+5x)dxPerorm polynomial long division=∫(2x2-5x+10x3-2x2+5x+1)dxApply…

Q: Find the nature of the quadratic form 2x2+2y2+2z2+2yz

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Q: Write the quadratic equation whose roots are -3 and -2, and whose leading coefficient is 3. (Use the…

A: Roots of a quadratic equation is given ,and we have to find quadratic equation with desired leading…

Q: write an equation of a quadratic that in vertex form of (3, 0) and passes through (6, 1)

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Q: Determine the quadratic equation whose sum and product of the roots are 1/4 and -5, respectively.

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Q: Write the equation of the quadratic function with vertex (2,-4) passing through point (0,6).

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Q: Write a quadratic equation in standard form with -1/2, 3/4 as its roots.

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Q: solve 3x+6y-9z=1 2x+4y-6z=1 3x+4y+5z=0

A: Given that 3x+6y-9z=1 2x+4y-6z=1 3x+4y+5z=0

Q: Find the equation, in vertex form, of the quadratic equation with zeros -1 and 7 and through the…

A: Given: The roots of the quadratic equation as -1 and 7 and the graph of quadratic equation is…

Q: This equation is not quadratic, because it contains a term involving x³. However, we can solve it by…

A: The zeroes of a function in a variable are the values of the variable at which the value of the…