How do you solve #2p^ { 3} - 3p ^ { 2} - 98p + 147= 0#?
2 Answers
Nov 22, 2017
Explanation:
factor out
factor out -49 from
factor
Nov 22, 2017
Explanation:
#"factorise by "color(blue)"grouping"#
#2p^3-98p-3p^2+147=0#
#rArrcolor(red)(2p)(p^2-49)color(red)(-3)(p^2-49)=0#
#rArr(p^2-49)(color(red)(2p-3))=0#
#rArr(p-7)(p+7)(2p-3)=0larrcolor(blue)"difference of squares"#
#"equate each factor to zero and solve for p"#
#p-7=0rArrp=7#
#p+7=0rArrp=-7#
#2p-3=0rArrp=3/2#