Advertisements
Advertisements
प्रश्न
The zeroes of the polynomial p(x) = 2x2 – x – 3 are ______.
पर्याय
`-3/2, 1`
`3/2, 1`
`-3/2, -1`
`3/2, -1`
Advertisements
उत्तर
The zeroes of the polynomial p(x) = 2x2 – x – 3 are `underlinebb(3/2, -1)`.
Explanation:
2x2 – x – 3
2x2 – 3x + 2x – 3
x(2x – 3) + 1(2x – 3)
(2x – 3) (x + 1)
Zeroes are `3/2` and – 1
APPEARS IN
संबंधित प्रश्न
Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and the coefficients:
x2 – 2x – 8
If α and β are the zeros of the quadratic polynomial f(x) = ax2 + bx + c, then evaluate `beta/(aalpha+b)+alpha/(abeta+b)`
If the squared difference of the zeros of the quadratic polynomial f(x) = x2 + px + 45 is equal to 144, find the value of p.
Find the quadratic polynomial, sum of whose zeroes is 0 and their product is -1. Hence, find the zeroes of the polynomial.
If two zeros x3 + x2 − 5x − 5 are \[\sqrt{5}\ \text{and} - \sqrt{5}\], then its third zero is
If two zeroes of the polynomial x3 + x2 − 9x − 9 are 3 and −3, then its third zero is
If the zeroes of a quadratic polynomial ax2 + bx + c are both positive, then a, b and c all have the same sign.
If all the zeroes of a cubic polynomial are negative, then all the coefficients and the constant term of the polynomial have the same sign.
The only value of k for which the quadratic polynomial kx2 + x + k has equal zeros is `1/2`
Find the zeroes of the quadratic polynomial x2 + 6x + 8 and verify the relationship between the zeroes and the coefficients.
