Find the zeroes of the polynomial in each of the following :
i) p(x) = x - 4
ii) g(x) = 3 - 6x
iii)q(x) = 2x - 7
iv) h(y) = 2y
i) 4
Solution
p(x)=x-4
We know that for finding the zero of a polynomial, we need to find a value of x for which the polynomial will be zero
i.e., p(x)=0
x-4=0
x=4
Hence 4 is a zero of the given polynomial.
ii)
Solution
We know that for finding the zero of a polynomial, we need to find a value of x for which the polynomial will be zero
i.e., g(x)=0
3-6x=0
3=6x
Hence is a zero of the given polynomial.
iii)
Solution
q(x)=2x-7
We know that for finding the zero of a polynomial, we need to find a value of x for which the polynomial will be zero
i.e., q(x)=0
2x-7=0
2x=7
Hence is a zero of the given polynomial.
iv) 0
Solution
We know that for finding the zero of a polynomial, we need to find a value of x for which the polynomial will be zero
i.e., h(x)=0
2y=0
y=0
Hence 0 is a zero of the given polynomial.
p(x)=x-4
0 =x-4
x =4
g(x)=3-6x
6x=3
x=1/3
q(x)=2x-7
0 =2x-7
-2x=-7
x =7/2
h(y)=2y
0 =2y
y =0