Question

28. Find the zeros of polynomial p(x) = 3x -x-4 and verity the relationship between the zero
and polynomial's coefficients .
FREE
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Answer 1

Step-by-step explanation:

$P(X) = {3x}^{2} - 4x + 3x - 4$

$= x(3x - 4)+1(3x - 4)$

$(3x - 4)(x + 1) = 0$

$= (3x - 4) = 0 or(x + 1) = 0$

$= x = 4/3 or x = - 1$

Let Alpha= 4/3 and beta= -1

Relationship between zero and Coefficient.

Sum of zeros= Alpha + Beta = 4/3+(-1)= 4/3= -1=4-3/3=1/3= Coefficient of X2

And,

$Product of zeroes Alpha \times Beta = 4/3 \times - 1 = Constant term/Coefficient of {X}^{2}.$

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