Question

Write a binomial expression in standard form that has a degree or 4

Answer 1

In general binomial expression is of n degree is =
`(x+a)^n`

We can expand it as

`(x+a)^n = ^nC_0x^n + ^nC_1x^(n-1)a + ^nC_2x^(n-2)a^2 + ^nC_3x^(n-3)a^3 + to ^nC_na^n`

SO binomial expression for degree 4 is
`(x+a)^4`

We can expand it as


`(x+a)^4 = ^4C_0 x^4 + ^4C_1 x^(4-1) a + ^4C_2x^(4-2)a^2 + ^4C_3x^(4-3)a^3 + ^4C_4x^(4-4)a^4`
=
`x^4 + 4x^3a + 6x^2a^2 + 4xa^3 + a^4`