find the zeroes of quadratic polynomial 7x^2-11/3x -2/3
Answers
7x^2-11/3x-2/3
dividing by 3 in equation
21x^2-11x-2
21x^2 -14x +3x -2
7x(3x-2) +1(3x-2)
(7x+1) (3x-2)
7x+1=0. ,3x-2=0
x =-1/7
x=2/3
Concept:
The polynomial equations of degree two in one variable of type f(x) = ax2 + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f. (x). The roots of the quadratic equation are the values of x that fulfil the equation (α,β ).
It is a given that the quadratic equation has two roots. Roots might have either a true or imaginary nature.
Given:
7x²-11/3x-2/3=0
Find:
Find the zeroes of quadratic polynomial 7x^2-11/3x -2/3
Solution:
7x²-11/3x-2/3=0
dividing by 3 in equation
21x²-11x-2=0
21x² -14x +3x -2=0
7x(3x-2) +1(3x-2)=0
(7x+1) (3x-2)=0
7x+1=0. ,3x-2=0
x =-1/7 x=2/3
Therefore, the roots of the equation are x =-1/7 x=2/3
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