Advertisements
Advertisements
Question
Verify whether the indicated numbers is zeroes of the polynomials corresponding to them in the following case:
`f(x)=x^2- 1,x=1,-1`
Advertisements
Solution
`f(x)=x^2- 1,x=1,-1`
we have `f(x)x^2 -1`
put `x=`and `x=-1`
`⇒ f(1)=(1)^2 -1` and `f(-1)=(-1)^2-1`
`=1-1=0` `=1-1=0`
`∴=1,-1`are the roots of `f(x)=x^2-1`
APPEARS IN
RELATED QUESTIONS
Find p(0), p(1) and p(2) for the following polynomial:-
p(y) = y2 – y + 1
Find p(0), p(1) and p(2) for the following polynomial:-
p(t) = 2 + t + 2t2 – t3
Verify whether the following zeroes of the polynomial, indicated against them.
`p(x) = 3x + 1, x = -1/3`
Verify whether the following zeroes of the polynomial, indicated against them.
p(x) = (x + 1) (x – 2), x = – 1, 2
Find the zero of the polynomial in the following case:
p(x) = 3x – 2
Verify whether the indicated numbers is zeroes of the polynomials corresponding to them in the following case:
`g(x)=3x^2-2,` `x=2/sqrt3 2/sqrt3`
Find the zero of the polynomial of the following:
p(x) = 2x + 5
Verify whether the following are zeros of the polynomial indicated against them, or not
p(x) = 2x − 1, x = `1/2`
–3 is a zero of y2 + y – 6
Find the zeroes of the polynomial in the following:
q(x) = 2x – 7
