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In the polynomial f(x) =2*x^4 - 49*x^2 +54, what is the product of the roots, and what is the sum of the roots (Note that x^n denotes the x raised to the power n, or x multiplied by itself n times)?
A27,0
B54,2
C49/2,54
D49,27
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The given equation is of type ax^4+bx^3+cx^2+dx+e.
Product of roots=(-1)^n*(coeff of constant term/coeff of x^4)= e/a = 54/2 =27
Sum of roots= -(coeff of x^3/coeff of x^4)= -b/a = -0/2=0
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The given equation is of type ax^4+bx^3+cx^2+dx+e.
Product of roots=(-1)^n*(coeff of constant term/coeff of x^4)= e/a = 54/2 =27
Sum of roots= -(coeff of x^3/coeff of x^4)= -b/a = -0/2=0
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