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Mathematics

Find the value of the polynomial 5x - 4x2 + 3 at

(i) x = 0

(ii) x = -1

(iii) x = 2

Polynomials

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Answer

p(x) = 5x - 4x2 + 3

(i) x = 0

We put x = 0 in the place of x in p(x)

p(0) = 5(0) - 4(0)2 +3

= 0 + 0 + 3

p(0) = 3

Hence, at x = 0, 5x - 4x2 + 3 = 3

(ii) x = -1

We put x = -1 in the place of x in p(x)

p(-1) = 5(-1) - 4(-1)2 + 3

= (-5) (-4) + 3

= (-9) + 3

= -6

Hence, at x = -1, 5x - 4x2 + 3 = -6

(iii) x = 2

We put x = 2 in the place of x in p(x)

p(2) = 5(2) - 4(2)2 +3

= 10 - 4 x 4 + 3

= 10 - 16 + 3

= 13 - 16

= -3

Hence, at x = 2, 5x - 4x2 + 3 = -3

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