Question

find the values of a and b if both (x-2) and (2x-1) are the factors of ax²+5x+b






please answer fast ​

Answer 1

Answer:

case:1

x-2 is factor x=2

4a+10+b=0

case:2

2x-1 is factor x=1/2

a/4+5/2+b=0

a+10+4b=0

solving case1 & case2

4a+b+10=0

4a+16b+40=0

15b+30=0

15b=-30

b=-2

put b=-2in case1

4a-2+10=0

4a=-8

a=-2