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3.07 The binomial theorem

Interactive practice questions

The 4th row of Pascal’s triangle consists of the numbers $1,4,6,4,1$1,4,6,4,1. Write down the numbers in the 5th row of Pascal’s triangle in the correct order.

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Find the sum of the entries in the $5$5th row of Pascal’s triangle.

You are given some of the entries in a particular row of Pascal’s triangle. Fill in the missing entries.

Which row of Pascal’s triangle would give us the coefficients of terms in the distribution of $\left(x+y\right)^7$(x+y)7?

Outcomes

MGSE9-12.A.APR.5

Know and apply that the Binomial Theorem gives the expansion of (x + y)n in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined using Pascal’s Triangle.

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