Find the zeroes of the polynomial q(x) = 2x - 7
Solution:
Given, the polynomial is q(x) = 2x - 7
We have to find the zeros of the polynomial.
For some values of the variable the polynomial will be equal to zero. These values are called zeros of polynomial.
To find zeros of polynomial,
Let q(x) = 0
2x - 7 = 0
2x = 7
x = 7/2
Therefore, the zero of the polynomial q(x) = 2x - 7 is 7/2.
✦ Try This: Find the zeroes of the polynomial p(x) = 4 + 20x.
Given, the polynomial is p(x) = 4 + 20x
We have to find the zeros of the polynomial.
For some values of the variable the polynomial will be equal to zero. These values are called zeros of polynomial.
To find zeros of polynomial,
Let p(x) = 0
4 + 20x = 0
4 = -20x
x = -(4/20)
x = -1/5
Therefore, the zero of the polynomial p(x) = 4 + 20x is -1/5.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2
NCERT Exemplar Class 9 Maths Exercise 2.3 Problem 11(iii)
Find the zeroes of the polynomial q(x) = 2x - 7
Summary:
A linear equation is of the form y = ax + b. The zero of this equation can be calculated by substituting y = 0, and on simplification we have ax + b = 0, or x = -b/a. The zeroes of the polynomial q(x) = 2x -7 is -1/5
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