Question

7х²+х-8=??? -2х²+7х-3=??? 5х²+8х+3=???

Answer 1

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Answer 2

To find the values of the given quadratic equations, let's solve them one by one:

1. 7x² + x - 8: To factorize this quadratic equation, we need to find two numbers whose product is -56 (the product of the coefficient of x² and the constant term) and whose sum is 1 (the coefficient of x). The numbers are 8 and -7. So, we can write the equation as: 7x² + x - 8 = (7x + 8)(x - 1)

2. -2x² + 7x - 3: To factorize this quadratic equation, we need to find two numbers whose product is -6 (the product of the coefficient of x² and the constant term) and whose sum is 7 (the coefficient of x). The numbers are 6 and -1. So, we can write the equation as: -2x² + 7x - 3 = (-2x + 1)(x - 3)

3. 5x² + 8x + 3: To factorize this quadratic equation, we need to find two numbers whose product is 15 (the product of the coefficient of x² and the constant term) and whose sum is 8 (the coefficient of x). The numbers are 3 and 5. So, we can write the equation as: 5x² + 8x + 3 = (5x + 3)(x + 1)

Therefore, the factored forms of the given quadratic equations are:

1. 7x² + x - 8 = (7x + 8)(x - 1)
2. -2x² + 7x - 3 = (-2x + 1)(x - 3)
3. 5x² + 8x + 3 = (5x + 3)(x + 1)