To factor the expression 12x3 – 9x2 – 4x + 3, we need to find two binomials that, when multiplied, give us the original expression.
To do this, we can try factoring out common factors. The greatest common factor of all the terms in the expression is 1, so there are no common factors to factor out.
Next, we can look for any patterns or groups of terms that can be factored.
If we look at the first two terms, 12x3 and –9x2, we can see that both terms have a common factor of 3x2.
12x3 – 9x2 = 3x2(4x – 3)
Now, let's look at the last two terms, –4x + 3. We can factor out a common factor of 1 from these terms.
–4x + 3 = 1(–4x + 3)
So, in factored form, 12x3 – 9x2 – 4x + 3 = 3x2(4x – 3) + 1(–4x + 3).
What is 12x3 – 9x2 – 4x + 3 in factored form?
(
x2 –
)(
x –
)
1 answer