0 and 2 are the zeroes of t² - 2t. Is the given statement true or false
Solution:
Given, 0 and 2 are the zeroes of t² - 2t.
We have to determine if the given statement is true or false.
For some values of the variable the polynomial will be equal to zero. These values are called zeros of polynomial.
Given, the polynomial is t² - 2t
Let f(x) = t² - 2t
To find zero of polynomial,
f(x) = 0
t² - 2t = 0
On factoring,
t(t - 2) = 0
Now, t = 0
Also, t - 2 = 0
t = 2
So, t = 0 and 2
Therefore, the zeros of the polynomial are 0 and 2.
✦ Try This: Verify whether the following is True or False : 0 and 3 are the zeroes of x² - 3x.
Given, 0 and 3 are the zeroes of x² - 3x.
We have to determine if the given statement is true or false.
For some values of the variable the polynomial will be equal to zero. These values are called zeros of polynomial.
Given, the polynomial is x² - 3x
Let f(x) = x² - 3x
To find zero of polynomial,
f(x) = 0
x² - 3x = 0
On factoring,
x(x - 3) = 0
Now, x = 0
Also, x - 3 = 0
x = 3
So, x = 0 and 3
Therefore, the given statement “0 and 3 are the zeroes of x² - 3x” is true.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2
NCERT Exemplar Class 9 Maths Exercise 2.3 Problem 10(iv)
0 and 2 are the zeroes of t² - 2t. Is the given statement true or false
Summary:
Zeros of a polynomial are the points where the polynomial equals zero on the whole. The given statement “0 and 2 are the zeros of t² - 2t” is true
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