Advertisements
Advertisements
प्रश्न
One of the zeroes of the polynomial 2x2 + 7x – 4 is ______.
विकल्प
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 value of the polynomial 5x – 4x2 + 3 at x = 0.
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) = 3x2 – 1, x = `-1/sqrt3,2/sqrt3`
Verify whether the indicated numbers is zeroes of the polynomials corresponding to them in the following case:
`f ( x ) = 3x +1, x = - 1/3`
Verify whether the indicated numbers is zeroes of the polynomials corresponding to them in the following case:
`f(x) = lx + m , x = - m/1`
Find the zero of the polynomial of the following :
f(z) = 8z
Find the zero of the polynomial of the following:
p(x) = ax when a ≠ 0
Verify whether the following are zeros of the polynomial, indicated against them, or not
p(x) = ax + b, x = `(-"b")/"a"`
Zero of the polynomial p(x) = 2x + 5 is ______.
Find the zeroes of the polynomial:
p(x) = (x – 2)2 – (x + 2)2
