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प्रश्न
Verify whether the following zeroes of the polynomial, indicated against them.
p(x) = (x + 1) (x – 2), x = – 1, 2
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उत्तर
If x = −1 and x = 2 are zeroes of polynomial p(x) = (x + 1) (x − 2), then p(−1) and p(2) should be 0.
Here, p(−1) = (−1 + 1) (−1 − 2)
= 0 (−3)
= 0
Also, p(2) = (2 + 1) (2 − 2)
= 3 (0)
= 0
Therefore, x = −1 and x = 2 are zeroes of the given polynomial.
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संबंधित प्रश्न
Find p(0), p(1) and p(2) for the following polynomial:-
p(x) = x3
Verify whether the following zeroes of the polynomial are indicated against them.
p(x) = 5x – π, `x = 4/5`
Verify whether the following zeroes of the polynomial, indicated against them.
p(x) = x2 – 1, x = 1, –1
Find the zero of the polynomial in the following case:
p(x) = 2x + 5
Find the zero of the polynomial in the following case:
p(x) = 3x – 2
Find the zero of the polynomial in the following case:
p(x) = 3x
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`
Verify whether the indicated numbers is zeroes of the polynomials corresponding to them in the following case:
`f (x) = 2x +1, x = 1/2`
–3 is a zero of x – 3
`-1/3` is a zero of 3x + 1
