Advertisements
Advertisements
Question
The factorisation of 4x2 + 8x + 3 is ______.
Options
(x + 1)(x + 3)
(2x + 1)(2x + 3)
(2x + 2)(2x + 5)
(2x –1)(2x –3)
Advertisements
Solution
The factorisation of 4x2 + 8x + 3 is (2x + 1) (2x + 3).
Explanation:
Now, 4x2 + 8x + 3 = 4x2 + 6x + 2x + 3 ...[By splitting middle term]
= 2x(2x + 3) + 1(2x + 3)
= (2x + 3)(2x + 1)
APPEARS IN
RELATED QUESTIONS
Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case:
p(x) = 2x3 + x2 – 2x – 1, g(x) = x + 1
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = x2 + x + k
Factorise:
6x2 + 5x – 6
Determine the following polynomial has (x + 1) a factor:
x4 + 3x3 + 3x2 + x + 1
Find the factor of the polynomial given below.
2m2 + 5m – 3
Show that x + 3 is a factor of 69 + 11x – x2 + x3.
Show that 2x – 3 is a factor of x + 2x3 – 9x2 + 12.
Find the value of m so that 2x – 1 be a factor of 8x4 + 4x3 – 16x2 + 10x + m.
Factorise:
1 + 64x3
Factorise:
a3 – 8b3 – 64c3 – 24abc
