Express as a trinomial.left bracket, 3, x, plus, 1, right bracket, left bracket, 2, x, minus, 1, right bracket(3x+1)(2x−1)
Question
Express as a trinomial.left bracket, 3, x, plus, 1, right bracket, left bracket, 2, x, minus, 1, right bracket(3x+1)(2x−1)
Solution
To express the given expression as a trinomial, you need to apply the distributive property (also known as the FOIL method). Here's how you do it:
Step 1: Multiply the first terms in each binomial: 3x * 2x = 6x^2
Step 2: Multiply the outer terms: 3x * -1 = -3x
Step 3: Multiply the inner terms: 1 * 2x = 2x
Step 4: Multiply the last terms: 1 * -1 = -1
Step 5: Add the results from steps 2 and 3: -3x + 2x = -x
Step 6: Combine all the results: 6x^2 - x - 1
So, (3x+1)(2x−1) expressed as a trinomial is 6x^2 - x - 1.
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