Express as a trinomial.left bracket, 3, x, minus, 7, right bracket, left bracket, x, minus, 1, right bracket(3x−7)(x−1)
Question
Express as a trinomial.left bracket, 3, x, minus, 7, right bracket, left bracket, x, minus, 1, right bracket(3x−7)(x−1)
Solution
To express the expression (3x - 7)(x - 1) as a trinomial, you need to use the distributive property, also known as the FOIL method. Here's how:
- First, multiply the first terms in each binomial: 3x * x = 3x^2.
- Then, multiply the outer terms: 3x * -1 = -3x.
- Multiply the inner terms: -7 * x = -7x.
- Finally, multiply the last terms: -7 * -1 = 7.
Now, combine like terms:
3x^2 - 3x - 7x + 7 = 3x^2 - 10x + 7
So, the trinomial of the expression (3x - 7)(x - 1) is 3x^2 - 10x + 7.
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