MATH125 QUIZ 4 Binomial Theorem

Given the binomial  $\left(x^3y^4-2\right)^{10}$  : State the last term of the expansion

• 1024 $x^{30}y^{40}$  

•  $x^{30}y^{40}$  

• 1024

• -1024

Given the binomial  $\left(x^3y^4-2\right)^{10}$  : Find the eighth term of the expansion in its simplest form

•  $-15360x^9y^{12}$  

•  $15360x^9y^{12}$  

•  $15360x^6y^7$  

•  $-15360x^6y^7$  

Use the binomial theorem to expand  $\left(4-2z\right)^3$  

•  $64-96z+48z^2+8z^3$  

•  $64-96z+48z^2-8z^3$  

•  $64+96z+48z^2+8z^3$  

•  $64-64z+144z^2-8z^3$  

Tags

CCSS.HSA.APR.C.5

Find the first 4 terms of the expansion of  $\left(2r-s\right)^{10}$  

•  $1024r^{10}+5120r^{9s}+11520r^8s^2+15360r^7s^3$  

•  $1024r^{10}+5120r^{9s}+11520r^8s^2-15360r^7s^3$  

•  $1024r^{10}-5120r^{9s}+11520r^8s^2-15360r^7s^3$  

•  $1024r^{10}-512r^{9s}+11520r^8s^2-15360r^7s^3$  

Given the binomial  $\left(5+2x^5\right)^{10}$ : State the last term of the expansion in its simplest form

•  $20x^{50}$  

•  $1024x^{15}$  

•  $20x^{15}$  

•  $1024x^{50}$  

Given the binomial  $\left(5+2x^5\right)^{10}$ : Find the 9th term of the expansion in its simplest form.

•  $288000x^{40}$  

•  $2250x^{40}$  

•  $115200x^{40}$  

•  $288000x^{13}$  

Given the binomial  $\left(5x^4+3y^5\right)^8$  : State the last term in its simplest form.

•  $3y^{13}$  

•  $6561y^{13}$  

•  $3y^{40}$  

•  $6561y^{40}$  

Given the binomial  $\left(5x^4+3y^5\right)^8$  : Find the term which contains  $x^{20}$  in its simplest form.

•  $4725000x^9y^{15}$  

•  $4725000x^{20}y^{15}$  

•  $175000x^{20}y^{15}$  

•  $175000x^9y^8$  

Given the binomial $\left(x^5-y^3\right)^{15}$  : Find the 13th term of the expansion in its simplest form.

•  $455x^{15}y^{36}$  

•  $-455x^{15}y^{36}$  

•  $455x^8y^{15}$  

•  $x^{15}y^{36}$  

Given the binomial $\left(x^5-y^3\right)^{15}$  : Find the term that contains  $y^{27}$  in its simplest form.

•  $5005x^{11}y^{12}$  

•  $-5005x^{11}y^{12}$  

•  $5005x^{30}y^{27}$  

•  $-5005x^{30}y^{27}$