Advertisements
Advertisements
प्रश्न
Find the factor of the polynomial given below.
`1/2x^2 - 3x + 4`
Advertisements
उत्तर
`1/2x^2 - 3x + 4`
`= 1/2x^2 - 6/2x + 8/2`
`= 1/2(x^2 - 6x + 8)`
`= 1/2(x^2 - 4x - 2x + 8)`
`= 1/2 x(x - 4) - 2(x - 4)`
`= 1/2 (x - 4)(x - 2)`
`= (x - 4)(1/2x - 1)`
APPEARS IN
संबंधित प्रश्न
Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case:
p(x) = x3 + 3x2 + 3x + 1, g(x) = x + 2
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = x2 + x + k
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = `kx^2 - sqrt2x +1`
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = kx2 – 3x + k
Factorise:
x3 – 2x2 – x + 2
Factorise:
x3 – 3x2 – 9x – 5
Factorise:
2y3 + y2 – 2y – 1
Determine the following polynomial has (x + 1) a factor:
x4 + x3 + x2 + x + 1
Determine the following polynomial has (x + 1) a factor:
x4 + 3x3 + 3x2 + x + 1
Find the Factors of the Polynomial Given Below.
2x2 + x – 1
Find the factor of the polynomial given below.
12x2 + 61x + 77
Factorize the following polynomial.
(x2 – x)2 – 8 (x2 – x) + 12
Factorize the following polynomial.
(x2 – 6x)2 – 8 (x2 – 6x + 8) – 64
Factorize the following polynomial.
(x2 – 2x + 3) (x2 – 2x + 5) – 35
If x + 1 is a factor of ax3 + x2 – 2x + 4a – 9, find the value of a.
Factorise the following:
9x2 – 12x + 3
Factorise the following:
1 – 64a3 – 12a + 48a2
Factorise:
`2sqrt(2)a^3 + 8b^3 - 27c^3 + 18sqrt(2)abc`
If both x – 2 and `x - 1/2` are factors of px2 + 5x + r, show that p = r.
