Advertisements
Advertisements
प्रश्न
One of the zeroes of the polynomial 2x2 + 7x – 4 is ______.
पर्याय
2
`1/2`
`-1/2`
`-2`
Advertisements
उत्तर
One of the zeroes of the polynomial 2x2 + 7x – 4 is `underlinebb(-1/2)`.
Explanation:
Let p(x) = 2x2 + 7x – 4
= 2x2 + 8x – x – 4 ...[By splitting middle term]
= 2x(x + 4) – 1(x + 4)
= (2x – 1)(x + 4)
For zeroes of p(x), put p(x) = 0
⇒ (2x – 1)(x + 4) = 0
⇒ 2x – 1 = 0 and x + 4 = 0
⇒ x = `1/2` and x = – 4
Hence, one of the zeroes of the polynomial p(x) is `1/2`.
APPEARS IN
संबंधित प्रश्न
Find the zero of the polynomial in the following case:
p(x) = x – 5
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 ) = 5x - pi , x = 4/5`
Find the value of the polynomial 5x – 4x2 + 3 at x = 2.
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 zero of the polynomial in the following:
h(x) = ax + b, a ≠ 0, a, b ∈ R
Verify whether the following are zeros of the polynomial, indicated against them, or not
p(x) = x3 – 1, x = 1
The zero of the polynomial 2x + 5 is
Zero of a polynomial is always 0
