Advertisements
Advertisements
Question
Verify whether the following zeroes of the polynomial, indicated against them.
p(x) = (x + 1) (x – 2), x = – 1, 2
Advertisements
Solution
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.
APPEARS IN
RELATED QUESTIONS
Find p(0), p(1) and p(2) for the following polynomial:-
p(x) = x3
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 are indicated against them.
p(x) = 5x – π, `x = 4/5`
Find the zero of the polynomial in the following case:
p(x) = 2x + 5
Find the zero of the polynomial of the following:
p(x) = x – 3
Find the zero of the polynomial of the following:
p(x) = ax when a ≠ 0
Find the number of zeros of the following polynomial represented by their graph
If `p(x) = x^2 - 2sqrt(2)x + 1`, then `p(2sqrt(2))` is equal to ______.
If p(x) = x + 3, then p(x) + p(–x) is equal to ______.
`-1/3` is a zero of 3x + 1
