Question

Jika p(x) = (x-2)(2x+1) dinyatakan dalam p(x) = ax²+b(x)-c, maka tentukan nilai dari a²+b²-c !

Answer 1

P(x) = (x - 2) (2x + 1)
p(x) = 2x² + x - 4x - 2
p(x) = 2x² - 3x - 2
a = 2
b = -3
c = 2


a² + b² - c
= 2² + (-3)² - 2
= 4 + 9 - 2
= 11

Answer 2

p(x) = (x-2)(2x+1)
       = 2x^2 - 3x -2
       = ax^2 + bx - c
a = 2
b = -3
c = 2

a^2 + b^2 - c
= 2^2 + (-3)^2 - 2
= 4 + 9 - 2
= 11