-3 is a zero of y² + y - 6. Is the given statement true or false
Solution:
Given, -3 is a zero of y² + y - 6.
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 y² + y - 6
Let f(x) = y² + y - 6
To find zero of polynomial,
f(x) = 0
y² + y - 6 = 0
On factoring,
y² + 3y - 2y - 6 = 0
y(y + 3) - 2(y + 3) = 0
(y - 2)(y + 3) = 0
Now, y - 2 = 0
y = 2
Also, y + 3 = 0
y = -3
So, y = -3 and 2
Therefore, the zeros of the polynomial are -3 and 2.
✦ Try This: Verify whether the following is True or False : 0 and 3 are the zeroes of x² - 4x + 4
Given, 0 and 3 are the zeroes of x² - 4x + 4
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 - 4x + 4
Let f(x) = x² - 3x + 4
To find zero of polynomial,
f(x) = 0
x² - 4x + 4 = 0
On factoring,
x² - 2x - 2x + 4 = 0
x(x - 2) - 2(x - 2) = 0
(x - 2)(x - 2) = 0
x - 2 = 0
So, x = 2
Therefore, the given statement “0 and 3 are the zeroes of x² - 4x + 4” is false.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2
NCERT Exemplar Class 9 Maths Exercise 2.3 Problem 10(v)
-3 is a zero of y² + y - 6. Is the given statement true or false
Summary:
The given statement “-3 is a zero of y² + y - 6” is true. The zeros of the polynomial y² + y - 6 are -3 and 2
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