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\(\text{Show that }{x}^{3}+15{x}^{2}+84x+196\phantom{\rule{0ex}{0ex}}\text{ has }\left(x+7\right)\text{ as a factor, using long division }\)
\(\text{Show that }{x}^{3}+15{x}^{2}+60x+72\phantom{\rule{0ex}{0ex}}\text{ has }\left(x+3\right)\text{ as a factor, using long division }\)
\(\text{Show that }{x}^{3}+21{x}^{2}+119x+147\phantom{\rule{0ex}{0ex}}\text{ has }\left(x+7\right)\text{ as a factor, using long division }\)
\(\text{Show that }{x}^{3}+27{x}^{2}+170x+72\phantom{\rule{0ex}{0ex}}\text{ has }\left(x+9\right)\text{ as a factor, using long division }\)
\(\text{Show that }{x}^{3}-2{x}^{2}-32\phantom{\rule{0ex}{0ex}}\text{ has }\left(x-4\right)\text{ as a factor, using long division }\)
\(\text{Show that }{x}^{3}-{x}^{2}-9x+9\phantom{\rule{0ex}{0ex}}\text{ has }\left(x+3\right)\text{ as a factor, using long division }\)
\(\text{Show that }{x}^{3}-3{x}^{2}+x+1\phantom{\rule{0ex}{0ex}}\text{ has }\left(x-1\right)\text{ as a factor, using long division }\)
\(\text{Show that }{x}^{3}-5{x}^{2}+18x-36\phantom{\rule{0ex}{0ex}}\text{ has }\left(x-3\right)\text{ as a factor, using long division }\)
\(\text{Show that }6{x}^{3}-39{x}^{2}-126x-81\phantom{\rule{0ex}{0ex}}\text{ has }\left(2x+3\right)\text{ as a factor, using long division }\)
\(\text{Show that }6{x}^{3}+39{x}^{2}-36x-54\phantom{\rule{0ex}{0ex}}\text{ has }\left(2x-3\right)\text{ as a factor, using long division }\)
\(\text{Show that }3{x}^{3}+13{x}^{2}-5x-3\phantom{\rule{0ex}{0ex}}\text{ has }\left(3x+1\right)\text{ as a factor, using long division }\)
\(\text{Show that }16{x}^{3}+60{x}^{2}+32x-12\phantom{\rule{0ex}{0ex}}\text{ has }\left(4x-1\right)\text{ as a factor, using long division }\)
\(\text{Show that }{x}^{4}+9{x}^{3}+30{x}^{2}+42x+18\phantom{\rule{0ex}{0ex}}\text{ has }\left(x+3\right)\text{ as a factor, using long division }\)
\(\text{Show that }{x}^{4}+15{x}^{3}+63{x}^{2}+93x+36\phantom{\rule{0ex}{0ex}}\text{ has }\left(x+3\right)\text{ as a factor, using long division }\)
\(\text{Show that }{x}^{4}+7{x}^{3}+54{x}^{2}+51x+3\phantom{\rule{0ex}{0ex}}\text{ has }\left(x+1\right)\text{ as a factor, using long division }\)
\(\text{Show that }{x}^{4}+8{x}^{3}+24{x}^{2}+28x+8\phantom{\rule{0ex}{0ex}}\text{ has }\left(x+2\right)\text{ as a factor, using long division }\)
\(\text{Show that }{x}^{4}-7{x}^{3}+12{x}^{2}+4x-16\phantom{\rule{0ex}{0ex}}\text{ has }\left(x-4\right)\text{ as a factor, using long division }\)
\(\text{Show that }{x}^{4}-{x}^{3}-6{x}^{2}+4x+8\phantom{\rule{0ex}{0ex}}\text{ has }\left(x+2\right)\text{ as a factor, using long division }\)
\(\text{Show that }{x}^{4}-15{x}^{2}+10x+24\phantom{\rule{0ex}{0ex}}\text{ has }\left(x-2\right)\text{ as a factor, using long division }\)
\(\text{Show that }{x}^{4}-4{x}^{3}-{x}^{2}+16x-12\phantom{\rule{0ex}{0ex}}\text{ has }\left(x-1\right)\text{ as a factor, using long division }\)
\(\text{Show that }8{x}^{4}+12{x}^{3}-54{x}^{2}-27x+81\phantom{\rule{0ex}{0ex}}\text{ has }\left(2x-3\right)\text{ as a factor, using long division }\)
\(\text{Show that }8{x}^{4}-8{x}^{3}-54{x}^{2}+54\phantom{\rule{0ex}{0ex}}\text{ has }\left(2x+3\right)\text{ as a factor, using long division }\)
\(\text{Show that }8{x}^{4}-4{x}^{3}-92{x}^{2}+184x-96\phantom{\rule{0ex}{0ex}}\text{ has }\left(2x-3\right)\text{ as a factor, using long division }\)
\(\text{Show that }8{x}^{4}-8{x}^{3}-34{x}^{2}+18x+36\phantom{\rule{0ex}{0ex}}\text{ has }\left(2x-3\right)\text{ as a factor, using long division }\)
\(\text{Show that }8{x}^{4}-30{x}^{2}+10x+12\phantom{\rule{0ex}{0ex}}\text{ has }\left(2x-2\right)\text{ as a factor, using long division }\)