Answer:
2(x+7)(x+7)
Step-by-step explanation:
Greetings,
The first thing to bear in mind:
2x²+28x+98
We need to find two Integer Numbers which product is 2*98=196
and a Sum between those two must be 28
Prime Factorize 196
196 | 2
98 | 2
49 | 7
7 | 7
1
So P(x) = ( 14 ) * (14 ) = 196
And S(x) = ( 14 ) + ( 14 ) = 28
2x²+28x+196x+98
Groupping it:
(2x²+28x)+(196x+98)
x(2x+1)+98(2x+1)
(2x+1)(x+98)
We can make it even simpler since 98=2*7² and we have 1 on the first parenthesis
Therefore,
2(x+7)(x+7) = (2x+1)(x+98) = 2x²+28x+98
