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HELP!!!!! Select the correct answer from each drop-down menu. Consider the expression below: (x+4)(x+9). For (x + 4)(x + 9) to equal 0, either (x + 4) or (x + 9) must equal ____. The values of x that would result in the given expression being equal to 0, in order from least to greatest, are ___ and ___. 1. (0, 4, 9, -9, -4) 2. (0, 4, 9, -4, -9) 3. (0, 4, 9, -9, -4)

Respuesta :

Edufirst
  • Answer:
  • First blank: 0 (zero)
  • Second blank -9
  • Third blanck: -4

Step-by-step explanation:

1) The multiplication has the zero product property. The zero product property states that If the product of two (or more) factors is zero, then at least one factor equals zero.

In symbols:

  • if  a × b = 0   then   a = 0   or   b = 0  or both a=0 and b=0 .

2) From that, you can find the values of x that would result in the given expression being equal to 0:

  • if (x+4)(x+9) = 0, then:

          x + 4 = 0 ⇒ x = - 4, or

          x + 9 = 0 ⇒ x = - 9.

In order from least to greatest that is - 9 and - 4 (the most negative number is the least).