Factor completely 2x3 + x2 - 18x – 9.
The completelyfactoredform of 2x³ + x² - 18x - 9 is (2x + 1)(x - 3)(x + 3).
We have,
To factor completely the expression 2x³ + x² - 18x - 9, we can follow these steps:
- Step 1: Group the terms in pairs:
(2x³ + x²) + (-18x - 9)
- Step 2: Factor out the greatest commonfactor from each pair:
x²(2x + 1) - 9(2x + 1)
- Step 3: Observe that we have a common binomial factor of (2x + 1).
Factor it out:
(2x + 1)(x² - 9)
- Step 4: The binomial (x² - 9) is a difference of squares and can be further factored as:
(2x + 1)(x - 3)(x + 3)
Therefore,
The completelyfactoredform of 2x³ + x² - 18x - 9 is (2x + 1)(x - 3)(x + 3).
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6 divided by 2/5 in a diagram
Answer:
I got 15.
Step-by-step explanation:
I used a calculator and 6 / (2/5) = 15