Question

show that 2x minus 3 is a factor of X + 2 x cube minus 9 X square + 12​

Answer 1

Solution :

If (2x - 3) be a factor of f(x) = x + 2x³ - 9x² + 12, then it is a certain that 3/2 be a zero of it and x = 3/2 must satisfy f(x) to 0

∴ f(3/2)

= 3/2 + 2 (3/2)³ - 9 (3/2)² + 12

= 3/2 + 2 (27/8) - 9 (9/4) + 12

= 3/2 + 27/4 - 81/4 + 12

= (6 + 27 - 81 + 48)/16

= (81 - 81)/16

= 0/16

= 0

⇒ f(3/2) = 0 and thus (2x - 3) is a factor of the given polynomial.

Hence, proved.

Answer 2

Answer:

upper one is correct ya okay