Question

Verify whether the values of x given in each case are the zeroes of the polynomial or not ?

Answer 1

Answer:

INFORMATION :-

$\implies$ the zeroes of a polynomial also called its roots are the values of x for which the corresponding value of y {f(x)} is zero.

$\implies$while seeing zeroes in a graph they are the points where the graph intersects the x- axis.

SOLUTION :-

Now, we're given a function such that

f(x) = 3x²- 1

put f(x) = 0 and solve for x to get the zeroes of this function.

f(x) = 3x² - 1 = 0

3x² - 1 = 0

3x² = 1

x² = $\frac{1}{3 }$

x = ± $\frac{1}{ \sqrt{3} }$

so the roots of f(x) = 3x²- 1 are :-

• + $\frac{1}{ \sqrt{3} }$
• - $\frac{1}{ \sqrt{3} }$

Comparing the values given to us and the values we found out.

• 1st value is a zero of the function

while the

• 2nd value isn't.