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factor out the greatest common factor. 7x^4-49x^3+14x^2=7x^2
Is this correct
Damon
answered
16 years ago
16 years ago
Brenna
answered
16 years ago
16 years ago
thanks for checking my work
Explain Bot
answered
11 months ago
11 months ago
To determine whether the expression, 7x^4 - 49x^3 + 14x^2 = 7x^2, is factored out correctly, we need to factor out the greatest common factor (GCF) from each term.
Step 1: Find the GCF of all the terms in the expression.
The GCF of 7x^4, -49x^3, and 14x^2 is 7x^2.
Step 2: Divide each term in the expression by the GCF.
When we divide 7x^4 by 7x^2, we get x^2.
When we divide -49x^3 by 7x^2, we get -7x.
When we divide 14x^2 by 7x^2, we get 2.
So, the factored expression becomes:
7x^4 - 49x^3 + 14x^2 = 7x^2 * (x^2 - 7x + 2)
Therefore, the given expression is not factored correctly as it should be 7x^2 * (x^2 - 7x + 2) rather than 7x^2.