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

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