The first step in attempting to factor the expression x2−7x+10 is to write out all of the factor pairs. Which of the following is the complete list of factor pairs for the constant term in this expression?

1 and 10, 2 and 5, −1 and −10, −2 and −5

1 and 9, 2 and 8, 3 and 7, 4 and 6, 5 and 5

−1 and 7, 1 and −7

1 and 10, 2 and 5

Respuesta :

Answer:

1 and 10, 2 and 5,-1 and -10,-2 and -5

Step-by-step explanation:

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The complete list of factor pairs for the constant term in this expression are

1 and 10, 2 and 5, −1 and −10, −2 and −5

The standard form of a quadratic equation is expressed as;

ax²+bx+c = 0

Given the quadratic equation x²−7x+10

To factor this expression, we need to get two values if when multiplied will give 10 (product of the coefficient of x²and the constant term) and the sum will give -7(coefficient of x).

The two values are:

-2 and -5

  • -2 * -5 = +10
  • -2-5 = -7

2 and 5

  • 2 * 5 = 10
  • 2 + 5 = 7

1 and 10

  • 1 * 10 = 0

-1 and -10

  • -1 * -10 = 10

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