0 votes 0 votes Consider the polynomials $p(x)=(5x^2+6x+1)(x+1)(2x+3)$ and $q(x)=(5x^2-9x-2)(2x^2+5x+3)$. The set of common divisors of $p(x)$ and $q(x)$ is: $\{2x+3,\;x+1,\;5x+1\}$ $\{2x+3,\;x-1,\;5x+1\}$ $\{x+3,\;2x+1,\;x-2\}$ $\{2x-3,\;x+1,\;5x+1\}$ Others cmi2019-datascience + – soujanyareddy13 asked Jan 29, 2021 • edited Feb 7, 2021 by soujanyareddy13 soujanyareddy13 154 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes $p(x) =(5x^2+6x+1)(x+1)(2x+3)=(5x+1)(x+1)^2(2x+3) $ And $q(x) =(5x^2-9x-2)(2x^2+5x+3) \\= (5x^2-10x+x-2)(2x^2+2x+3x+3)= (5x+1)(x-2)(2x+3)(x+1) $ $\therefore$ Common divisors are A.$\{ 2x+3, x+1, 5x+1\}$ siddhartha nandi answered May 9, 2021 siddhartha nandi comment Share Follow See all 0 reply Please log in or register to add a comment.