1.7.1 Binomial expansion

a.

Find the expansion of $(1+x4)8\left(1 + \dfrac{x}{4}\right)^8$ up to and including the term in $x^2$ , simplifying each coefficient.

[3]

b.

By choosing a suitable value of $x$ , use your answer to part (a) to estimate the value of $1.025^8$ , giving your answer to 4 decimal places.

[2]

1.7.1 Binomial expansion

a.

Find the expansion of $(1+x4)8\left(1 + \dfrac{x}{4}\right)^8$ up to and including the term in $x^2$ , simplifying each coefficient.

[3]

b.

By choosing a suitable value of $x$ , use your answer to part (a) to estimate the value of $1.025^8$ , giving your answer to 4 decimal places.

[2]

1.7.1 Binomial expansion

1.7.1 Binomial expansion Questions