Wielomian W określony jest wzorem W(x)=ax2+7x+1. Oblicz a, gdy W(-2)=-21
W(x) = ax² + 7x + 1
W(- 2) = -21
W(- 2) = a·(- 2)² + 7·(-2) + 1 = 4a - 14 + 1 = 4a - 13
4a - 13 = - 21
4a = - 21 + 13
4a = - 8 /:4
a = - 2
Odp. a = - 2
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W(x) = ax² + 7x + 1
W(- 2) = -21
W(- 2) = a·(- 2)² + 7·(-2) + 1 = 4a - 14 + 1 = 4a - 13
4a - 13 = - 21
4a = - 21 + 13
4a = - 8 /:4
a = - 2
Odp. a = - 2