Question

If two zeros of p of x is equal to 3 cube minus 4 x square - 3 x + 12 are root 3 and minus root3 then find its third zero

Answer 1

Answer:

4\3

Step-by-step explanation:

NOW,

SUM OF ZEROES = √3 - √3 + X = -B\A

X = 4\3

Answer 2

Question ( in simple terms )

If two zeros of the polynomial 3 x³- 4 x²- 3 x + 12 are √3 and -√3,then find its third zero .

Answer:

The sum of roots of an equation is given by :

- ( second terms coefficient ) / ( last term's coefficient )

Comparing 3 x³ - 4 x² - 3 x + 12 with ax³ + bx² + cx + d :

a = 3

b = - 4

c = - 3

d = 12

Let the third zero be R

R + √3 - √3 = - b/a

⇒ R = - (-4)/3

⇒ R = 4/3

The third zero is 4/3 .

Step-by-step explanation:

We are given two roots which are additive inverse . Additive inverse means that they would yield 0 when they are added . This fact can be used in order to find the 3rd root . We already know that the sum of roots is -b/a and hence we can put the values of b and a to get the third zero .