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Q(x)=1-x-x²
a) P(-1)+Q(3).(-5)
P(x)=x²-4x+3 ⇒ P(-1)=(-1)²-4(-1)+3 = 1+4+3 = 8
Q(x)=1-x-x² ⇒ Q(3)= 1 - 3 - 3² = 1 - 3 - 9 = -11
P(-1)+Q(3).(-5) = 8 + (-11).(-5) = 8 + 55 = 63
b) 4/3 - 4.P(0)
P(x)=x²-4x+3 ⇒ P(0)=(0)²-4(0)+3 = 0 - 0 + 3 = 3
4/3 - 4.P(0) = 4/3 - 4.(3) = 4/3 - 12 = - 32/3