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Math Asked by a SnapAndSolve user · about 3 hours ago

For this problem, you will factor f(x) using the grouping method. f(x) = 9x^2 + 0x - 4 f(x) = 9x^2 + [ ] +...

For this problem, you will factor f(x) using the grouping method.
f(x) = 9x^2 + 0x - 4
f(x) = 9x^2 + [ ] + [ ] - 4
First, split the linear term into two terms so the polynomial can be grouped. (Remember the x!)

Answer

Answer:

To factor the expression using the grouping method, we need to split the middle term (0x) into two terms. Since the middle term is 0x, we can split it into +3x and -3x, which add up to 0x.

Thus, the expression becomes:

f(x) = 9x^2 + 3x - 3x - 4

Now, group the terms:

(9x^2 + 3x) + (-3x - 4)

Factor out the greatest common factor from each group:

3x(3x + 1) - 1(3x + 4)

Since the terms inside the parentheses are not the same, the expression cannot be factored further using simple grouping. Therefore, the expression is already in its simplest form.

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