Advertisements
Advertisements
Question
Find the factor of the polynomial given below.
`sqrt 3 x^2 + 4x + sqrt 3`
Advertisements
Solution
`sqrt 3 x^2 + 4x + sqrt 3`
`= sqrt 3 x^2 +3x + x + sqrt 3`
`= sqrt 3 x^2 + sqrt 3 xx sqrt 3 x + x + sqrt 3`
`= sqrt 3 x (x + sqrt 3) + 1 (x + sqrt 3)`
`= (x + sqrt 3) (sqrt 3 x + 1)`
APPEARS IN
RELATED QUESTIONS
Determine the following polynomial has (x + 1) a factor:
x3 + x2 + x + 1
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
Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case:
p(x) = x3 − 4x2 + x + 6, g(x) = x − 3
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = `kx^2 - sqrt2x +1`
Factorise:
12x2 – 7x + 1
Factorise:
3x2 – x – 4
Factorise:
x3 + 13x2 + 32x + 20
Factorise:
2y3 + y2 – 2y – 1
Factorize the following polynomial.
(x2 – 2x + 3) (x2 – 2x + 5) – 35
Factorize the following polynomial.
(x – 3) (x – 4)2 (x – 5) – 6
x + 1 is a factor of the polynomial ______.
The factorisation of 4x2 + 8x + 3 is ______.
Show that x + 3 is a factor of 69 + 11x – x2 + x3.
Show that p – 1 is a factor of p10 – 1 and also of p11 – 1.
Factorise:
x2 + 9x + 18
Factorise:
84 – 2r – 2r2
Factorise:
`2sqrt(2)a^3 + 8b^3 - 27c^3 + 18sqrt(2)abc`
Without finding the cubes, factorise:
(x – 2y)3 + (2y – 3z)3 + (3z – x)3
