Advertisements
Advertisements
Question
Find the factor of the polynomial given below.
2m2 + 5m – 3
Advertisements
Solution
2m2 + 5m – 3
= 2m2 + 6m - m - 3
= 2m (m + 3) - 1 (m + 3)
= (m + 3) (2m - 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) = 2x3 + x2 – 2x – 1, g(x) = 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) = `2x^2+kx+sqrt2`
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = kx2 – 3x + k
Factorise:
3x2 – x – 4
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
Factorize the following polynomial.
(x2 – 2x + 3) (x2 – 2x + 5) – 35
Factorize the following polynomial.
(x – 3) (x – 4)2 (x – 5) – 6
Which of the following is a factor of (x + y)3 – (x3 + y3)?
If x + 1 is a factor of ax3 + x2 – 2x + 4a – 9, find the value of a.
Factorise:
x2 + 9x + 18
Factorise:
2x2 – 7x – 15
Factorise the following:
1 – 64a3 – 12a + 48a2
Factorise:
a3 – 8b3 – 64c3 – 24abc
Factorise:
`2sqrt(2)a^3 + 8b^3 - 27c^3 + 18sqrt(2)abc`
