Question

If 15x2 - 26x + 8 = (Ax + B) (Cx + D),
where A and C are positive integers,
then what is the value of (2A + B - C -
2D)?

Answer 1

Answer:

1

Step-by-step explanation:

AC=15

A>0

C>0

SO HERE IS TWO COMBINATION

A=3 , C=5 OR A=5,C=3

BD =8

SO HERE IS FOUR COMBINATION

B=2, D=4 OR B=4 AND D= 2

OR IF BOTH AREE NEGATIVE THEN

B=-2 , D= -4 , OR B= -4 AND D = -2

LETS CHECK PUT THE VALUE IN

2A+B-C-2D

IF WE PUT A= 3 AND C = 5 AND B = -4 AND D= -2

THEN VALUE IS

2*3-4-5-2*(-2)= 6-4-5+4

=1

and also check

AD+BC= -26

3*(-2)+5(-4)=-26

SO CONFIRM ANS IS 1