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Questions and Answers
What is the expansion of $(x + a)^n$?
What is the expansion of $(x + a)^n$?
- $nC0 \cdot a^n + nC1 \cdot a^{n-1} + nC2 \cdot a^{n-2} + ... + nCn \cdot a^0$
- $nC0 \cdot x^n + nC1 \cdot x^{n-1} + nC2 \cdot x^{n-2} + ... + nCn \cdot x^0$
- $nC0 \cdot x^n \cdot a + nC1 \cdot x^{n-1} \cdot a + nC2 \cdot x^{n-2} \cdot a + ... + nCn \cdot x \cdot a^n$
- $nC0 \cdot x^n \cdot a^0 + nC1 \cdot x^{n-1} \cdot a^1 + nC2 \cdot x^{n-2} \cdot a^2 + ... + nCn \cdot x^0 \cdot a^n$ (correct)
What are the coefficients in the expansion of $(x + a)^n$ called?
What are the coefficients in the expansion of $(x + a)^n$ called?
- Polynomial coefficients
- Trigonometric coefficients
- Exponential coefficients
- Binomial coefficients (correct)
How many terms are there in the expansion of $(x + a)^n$?
How many terms are there in the expansion of $(x + a)^n$?
- $2n$
- $2n + 1$
- $n + 1$ (correct)
- $n^2$
What is the number of terms in the expansion of $(a + b + c)^n$?
What is the number of terms in the expansion of $(a + b + c)^n$?
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What is the middle term in the expansion of $(x + a)^n$ if $n$ is even?
What is the middle term in the expansion of $(x + a)^n$ if $n$ is even?
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What is a polynomial?
What is a polynomial?
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What does the theory of equations study?
What does the theory of equations study?
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What is the relationship between the roots and coefficients of a quadratic equation?
What is the relationship between the roots and coefficients of a quadratic equation?
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What is the product of roots for a cubic equation?
What is the product of roots for a cubic equation?
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If one root of a cubic equation is double of another, then find all the roots of equation $x^3 + 36 = 7x^2$.
If one root of a cubic equation is double of another, then find all the roots of equation $x^3 + 36 = 7x^2$.
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