Question

Find the GCF of the terms of the polynomial 30x^7 + 8x^2

Answer 1

`\bf 30x^7+8x^2~~ \begin{cases} 30=&\boxed{2}\cdot 3\cdot 5\\ 8=&\boxed{2}\cdot 2\cdot 2\\ x^7=&x^(2+5)\\ &\boxed{x^2} x^5\\ x^2=&\boxed{x^2} \end{cases}\implies \stackrel{GCF}{(2)(x^2)\implies 2x^2} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 30x^7+8x^2\implies 2x^2(15x^5+4)`