if (x+a) is a factor of 2xsquare+2x+5x+10 find a
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let x+a=0
therefore x=-a
put in the polynomial
2(-a)²+2(-a)+7(-a)+10
2a²-2a-7a+10
2a²-9a+10
2a²-4a-5a+10
2a(a-2)-5(a-2)
(a-2)(2a-5)=0
therfore either a= 2 or a=5/2
therefore x=-a
put in the polynomial
2(-a)²+2(-a)+7(-a)+10
2a²-2a-7a+10
2a²-9a+10
2a²-4a-5a+10
2a(a-2)-5(a-2)
(a-2)(2a-5)=0
therfore either a= 2 or a=5/2
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