What is the product of 2x2 − x + 1 and 3 − 2x
Question 1 Report
What is the product of 2x2 − x + 1 and 3 − 2x
Answer Details
To find the product of (2x^2 - x + 1) and (3 - 2x), we need to multiply every term in the first expression with every term in the second expression, and then simplify the result. We can use the distributive property of multiplication to do this.
First, we multiply 2x^2 by 3 and by -2x:
2x^2 * 3 = 6x^2
2x^2 * -2x = -4x^3
Then, we multiply -x by 3 and by -2x:
-x * 3 = -3x
-x * -2x = 2x^2
Finally, we multiply 1 by 3 and by -2x:
1 * 3 = 3
1 * -2x = -2x
Now we can add up all these products:
6x^2 - 4x^3 - 3x + 2x^2 + 3 - 2x
Simplifying this expression, we get:
-4x^3 + 8x^2 - 5x + 3
Therefore, the answer is option B: -4x^3 + 8x^2 - 5x + 3.
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