Binomials. (1 Viewer)

[katerebecca]

I cant find one of the questions so this might not make sense

but

how do you do the questions that are like

(1+ax)^n= 1+6x+16x^2, find value of a and n.

 

[gurmies]

Degree of RHS is 2. Therefore, n = 2.

Expanding:

1 + 2ax + a^2x^2 = 1 + 6x + 16x^2

2a = 6

a = 3 but also a^2 = 16, a = 4

Should be either 1 + 8x + 16x^2 or 1 + 6x + 9x^2