This video tutorial introduces the binomial theorem, focusing on using combinations instead of Pascal's Triangle to find coefficients. It explains the pattern of binomial expansion, demonstrating with examples like (X + 3)^4 and (2X - 3)^5. The video aims to help viewers understand how to apply combinations to expand binomials effectively.

What is the primary focus of this video on the Binomial Theorem?

• Using Pascal's Triangle for expansions

• Using combinations to find missing factors

• Solving quadratic equations

• Graphing polynomial functions

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CCSS.HSA.APR.C.5

In the expansion of (x + y)^3, what happens to the exponents of x and y?

• Exponents of x increase, y decrease

• Both exponents decrease

• Exponents of x decrease, y increase

• Both exponents increase

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CCSS.HSA.APR.C.5

What method is used to find the coefficients in binomial expansions in this video?

• Graphical Method

• Factorization

• Combinations

• Pascal's Triangle

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CCSS.HSA.APR.C.5

When expanding (x + 3)^4, what is the first term in the expansion?

• 3x^4

• x^4

• 4x^3

• x^3

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CCSS.HSA.APR.C.5

In the expansion of (x + 3)^4, what is the coefficient of the x^3 term?

• 3

• 12

• 6

• 9

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CCSS.HSA.APR.C.5

What is the last term in the expansion of (x + 3)^4?

• 3

• 9

• 27

• 81

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CCSS.HSA.APR.C.5

In the expansion of (2x - 3)^5, what is the first term?

• 16x^5

• 32x^5

• 8x^5

• 4x^5

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CCSS.HSA.APR.C.5

What is the coefficient of the x^4 term in the expansion of (2x - 3)^5?

• 120

• -120

• -240

• 240

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CCSS.HSA.APR.C.5

In the expansion of (2x - 3)^5, what is the coefficient of the x^2 term?

• 540

• -540

• 1080

• -1080

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CCSS.HSA.APR.C.5

What is the last term in the expansion of (2x - 3)^5?

• -81

• 81

• 243

• -243

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CCSS.HSA.APR.C.5