Question

Find the value of P(x) = 5x - 4x² + 3 at (i) x = 0 (ii) x = (-1) (iii) x = 2

Answer 1

Find the value of P(x) = 5x - 4x² + 3 at
(i) x = 0
(ii) x = -1
(iii) x = 2

$\mathbb{ SOLUTION }$:

(i) x = 0
P(0) = 5*(0) - 4*(0)² + 3
P(0) = 0 - 0 + 3
P(0) = 3

(ii) x = -1
P(-1) = 5*(-1) - 4*(-1)² + 3
P(-1) = -5 - 4 + 3
P(-1) = -9 + 3
P(-1) = -6

(iii) x = 2
P(2) = 5*(2) - 4*(2)² + 3
P(2) = 10 - 16 + 3
P(2) = 13 - 16
P(2) = -3

Answer 2

Given polynomial :

p(X) = 5x-4x²+3

To find :

(i) X= 0
(ii) x = -1
(iii) x = 2

Solution :
p(X) = 5x-4x²+3
p(0) = 5(0)-4(0)²+3
= 0-0+3 = 3

p(X) = 5x-4x²+3
p(-1) = 5(-1)-4(-1)²+3
= -5-4×1+3 = -5-4+3 = -9+3 = -6

p(X) = 5x-4x²+3
p(2) = 5(2)-4(2)²+3
= 10-4×4+3
= 10-16+3 =13-16 = -3

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