train up mathematics s1 to s2

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page 15

What can be multiplied to x-2 to give a product containing the term -3x2? Find the polynomial



ANS: Let P(x) = ax^ +bx+c,

P(x) x (x-3)
=(ax` +bx^ +cx)- (2ax^+ 2bx+2c)
=ax^+(b-2a)x^+(c-2b)x-2c



^等於2次方
`等於3次方