What is true about the sum of the two polynomials ? 6s^2t-2st^2 and 4s^2t- 3st^2? The sum of a binomial is 2 . the sum of a binomial is 3 . the sum of a trinomial is 2 . the sum of a trinomial is 3.
Accepted Solution
A:
Answer:A. The sum of binomial is 2.Step-by-step explanation:We are given that two polynomials [tex]6s^2t-2st^2[/tex][tex]4s^2t-3st^2[/tex]We have to find the sum of the two polynomials Let [tex]p=6s^2t-2st^2[/tex][tex]q=4s^2t-3st^2[/tex]Adding two polynomials then we get [tex]p+q=6s^2t-2st^2+4s^2t-3st^2[/tex][tex]p+q=6s^2t+4s^2t-2st^2-3st^2[/tex][tex]p+q=(6+4)s^2t-(2+3)st^2[/tex]By taking common [tex]s^2t [/tex] from [tex]6s^2t\;and\; 4s^2t[/tex]and [tex]st^2[/tex] from [tex]2st^2[/tex] and[tex] 3st^2[/tex]Therefore, we have sum two polynomials[tex]p+q=10s^2t-5st^2[/tex]Binomial means the polynomial contains two terms Therefore, the sum of binomial is '2'.Hence , option A is true.A. The sum of binomial is 2.