a) P (x) = M (x) + N (x) = -2x2 + 3 - 4x3 + 5x + 4x3 + 10 + 2x2 - 3x
= ( -2x2 + 2x2 ) + ( 3 + 10 ) + ( -4x3 + 4x3 ) + ( 5x - 3x )
= 13 + 2x
Ta có P (x) = 13 + 2x
Đặt 13 + 2x = 0
=> 2x = - 13
=> x = \(\dfrac{-13}{2}\)
Vậy nghiệm của đa thức P (x) là \(\dfrac{-13}{2}\)
b) Q (x) = M (x) - N (x)
=> Q (x) = -2x2 + 3 - 4x3 + 5x - ( 4x3 + 10 + 2x2 - 3x)
= -2x2 + 3 - 4x3 + 5x - 4x3 - 10 - 2x2 + 3x
= ( -2x2 - 2x2 ) + ( 3 - 10 ) + ( -4x3 - 4x3 ) + ( 5x + 3x )
= -4x2 - 7 - 8x3 + 8x
a) P (x) = M (x) + N (x) = -2x2 + 3 - 4x3 + 5x + 4x3 + 10 + 2x2 - 3x
= ( -2x2 + 2x2 ) + ( 3 + 10 ) + ( -4x3 + 4x3 ) + ( 5x - 3x )
= 13 + 2x
Ta có P (x) = 13 + 2x
Đặt 13 + 2x = 0
=> 2x = - 13
=> x = −132−132
b) Q (x) = M (x) - N (x)
=> Q (x) = -2x2 + 3 - 4x3 + 5x - ( 4x3 + 10 + 2x2 - 3x)
= -2x2 + 3 - 4x3 + 5x - 4x3 - 10 - 2x2 + 3x
= ( -2x2 - 2x2 ) + ( 3 - 10 ) + ( -4x3 - 4x3 ) + ( 5x + 3x )
= -4x2 - 7 - 8x3 + 8x