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
Factorise:
12x2 – 7x + 1
Factorise:
x3 + 13x2 + 32x + 20
Factorise:
2y3 + y2 – 2y – 1
Determine the following polynomial has (x + 1) a factor:
x4 + x3 + x2 + x + 1
Find the factor of the polynomial given below.
12x2 + 61x + 77
Find the factor of the polynomial given below.
`sqrt 3 x^2 + 4x + sqrt 3`
Factorize the following polynomial.
(x2 – x)2 – 8 (x2 – x) + 12
Factorize the following polynomial.
(y2 + 5y) (y2 + 5y – 2) – 24
Factorize the following polynomial.
(x – 3) (x – 4)2 (x – 5) – 6
One of the factors of (25x2 – 1) + (1 + 5x)2 is ______.
Show that x + 3 is a factor of 69 + 11x – x2 + x3.
Show that 2x – 3 is a factor of x + 2x3 – 9x2 + 12.
Determine which of the following polynomials has x – 2 a factor:
3x2 + 6x – 24
If x + 1 is a factor of ax3 + x2 – 2x + 4a – 9, find the value of a.
Factorise:
84 – 2r – 2r2
Factorise the following:
9x2 – 12x + 3
Factorise:
`a^3 - 2sqrt(2)b^3`
Factorise:
`2sqrt(2)a^3 + 8b^3 - 27c^3 + 18sqrt(2)abc`
