Write a quadratic equation in factored form whos solutions are 7 and -5

The answer to your question is factor form    (x - 7)(x + 5)

                                                    expanded form  x² - 2x - 35

Step-by-step explanation:

Data

solution 7 and -5

Process

1.- Write the solutions of this equation

             x₁ = 7               x₂ = -5

2.- Equal to zero both solutions

            x₁ - 7 = 0          x₂ + 5 = 0

3.- Write the factor form of the equation

            (x - 7)(x + 5)

4.- Expand

            x² + 5x - 7x - 35

-Simplify

            x² - 2x - 35

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step-by-step explanation:

1+2+3+4+5+6+7+8+9+10 = 55

2*10 = 20

55-20 = 35