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How to fill out socraticorghow-do-you-factor-15x-4-11x-2-12how do you factor

1. To factor the expression 15x^4 - 11x^2 - 12, follow these steps:
2. Look for common factors in all terms. In this case, there are no common factors.
3. Check if the expression is a quadratic trinomial or other polynomial. In this case, it is a quadratic trinomial.
4. Determine if the quadratic trinomial can be factored using the product-sum method or any other factoring technique. In this case, it can be factored using the product-sum method.
5. Split the middle term (11x^2) into two terms that when added give the coefficient of the middle term (-11) and when multiplied give the constant term (-12). In this case, the terms are 3x and -4x.
6. Rewrite the expression using the two new terms. The expression becomes 15x^4 + 3x - 4x - 12.
7. Group the terms and factor out the common factors separately. The expression becomes (15x^4 + 3x) - (4x + 12).
8. Factor out the common factor from each group. The expression becomes 3x(5x^3 + 1) - 4(5x + 3).
9. Simplify the expression. The factored form of 15x^4 - 11x^2 - 12 is 3x(5x^3 + 1) - 4(5x + 3).

Who needs socraticorghow-do-you-factor-15x-4-11x-2-12how do you factor?

1. Anyone who is studying or working with quadratic trinomials or factoring polynomials needs to understand how to factor expressions like 15x^4 - 11x^2 - 12.
2. This knowledge is particularly useful in algebra, calculus, physics, and other mathematical and scientific fields.
3. Students in high school or college taking courses in mathematics or the sciences may encounter problems involving factoring expressions like this one.

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What is socraticorghow-do-you-factor-15x-4-11x-2-12how do you factor?

The expression 15x^2 - 11x - 12 can be factored by finding two numbers that multiply to (15 * -12 = -180) and add to -11. The factors of -180 that satisfy this condition are -15 and +12. The factoring gives us (5x + 4)(3x - 3).

Who is required to file socraticorghow-do-you-factor-15x-4-11x-2-12how do you factor?

Individuals or entities that generate income and meet specific thresholds as set by tax regulations are generally required to file a tax return.

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To fill out a tax form, you need to gather necessary documents, report all income, claim deductions and credits accurately, and sign the form before submission.

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The purpose of the tax return is to account for income, calculate tax liability, and ensure compliance with tax laws.

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Tax returns typically require reporting of total income, deductions, credits, and any other specific information required by the IRS or relevant authority.