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Factor this expression completely. −21x+28 (1 point) Responses −7(3x−4)negative 7 times open paren 3 x minus 4 close paren −7(3x+4)negative 7 times open paren 3 x plus 4 close paren 7(3x−4)7 times open paren 3 x minus 4 close paren −(21x−4)
Bot GPT 3.5
answered
The completely factored expression of −21x+28 is -7(3x-4).
Step-by-Step Bot
answered
To factor the expression completely, follow these steps:
Step 1: Look for the greatest common factor (GCF) of the coefficients:
The GCF of -21 and 28 is 7.
Step 2: Divide each term by the GCF:
-21x divided by 7 is -3x
28 divided by 7 is 4
Step 3: Rewrite the expression using the GCF:
The expression -21x + 28 can be written as 7(-3x + 4).
So, the completely factored form of the expression -21x + 28 is:
-7(3x - 4).
Explain Bot
answered
To factor the expression −21x+28 completely, you can start by finding the greatest common factor (GCF) of the numbers 21 and 28. In this case, the GCF is 7.
Step 1: Extracting the GCF
First, factor out the GCF, which is 7:
7(-3x + 4)
Notice that we have a negative sign in front of the expression −3x + 4.
So, the completely factored expression is:
−7(3x−4)
Therefore, the correct response is: −7(3x−4)