Factor. 6u^3 - 9u^2 + 2u - 3 ______

Question

Bytelearn · Accepted Answer

Identify Common Factors: Look for common factors in pairs of terms. We will first look at the pairs of terms separately to see if there is a common factor in any of the pairs. We will start with the first two terms, 6u^3 and -9u^2, and then the last two terms, 2u and -3. For the first pair, the common factor is 3u^2, and for the second pair, the common factor is 1 (since 2 and 3 are prime numbers and do not share a common factor other than 1).Factor Out Common Factors: Factor out the common factors from each pair. Now we will factor out the common factors from each pair. For the first pair, 6u^3 - 9u^2, we factor out 3u^2: 3u^2(2u - 3) For the second pair, 2u - 3, we cannot factor out anything other than 1, so it remains the same: 1(2u - 3)Find Common Binomial Factor: Look for a common binomial factor. Now we will look for a common binomial factor from the two results we got from step 2. We notice that both terms have a common binomial factor of (2u - 3).Factor Out Binomial Factor: Factor out the common binomial factor. We will now factor out the common binomial factor (2u - 3) from both terms. (3u^2)(2u - 3) + (1)(2u - 3) This gives us: (2u - 3)(3u^2 + 1)

Factor. $\newline$ $6u^3 - 9u^2 + 2u - 3$

Full solution

More problems from Factor by grouping

Related topics

Factor.\newline6u3−9u2+2u−36u^3 - 9u^2 + 2u - 36u3−9u2+2u−3

Factor. $\newline$ $6u^3 - 9u^2 + 2u - 3$