Find the polynomial for p(0) = 4, p(1) =9 and p(-1) =5

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A3x² + 2x + 4

B5x² - 4x - 4

Cx² - x + 4

D3x² + x + 4

Answer:

p(x)=ax²+bx+c a(0)²+b(0)+c=4 c=4 a(1)²+b(1)+4=9 a(-1)²+b(-1)+4=5 a+b=5 a-b=1 2a=6 ; a=3 b=5-3 = 2 ans: 3x² + 2x + 4

Related Questions:

If the polynomial $f(x)=2x^3-kx^2+5x+9$ is exactly divisible by x+2, then, k =

6(x ^ 3 - 2x ^ 2 + 3x) - (x ^ 3 + 2x - 3)