Question

calcule o p1, p0 e p3 do seguinte polinômio.

p(x) = 4x3 - 9x2 + 8x - 10​

Answer 1

Explicação passo-a-passo:

Temos o seguinte polinômio:

$p(x)=4x^{3} -9x^{2} +8x-10$

a)

$p(1)=4.1^{3} -9.1^{2} +8.1-10\\\\p(1)=4.1 -9.1 +8-10\\\\p(1)=4-9-2\\\\\boxed{\boxed{p(1)=-7}}$

b)

$p(0)=4.0^{3} -9.0^{2} +8.0-10\\\\p(0)=4.0-9.0+0-10\\\\\boxed{\boxed{p(0)=-10}}$

c)

$p(3)=4.3^{3} -9.3^{2} +8.3-10\\\\p(3)=4.27 -9.9 +24-10\\\\p(3)=108-81+14\\\\\boxed{\boxed{p(3)=41}}$