Advertisements
Advertisements
प्रश्न
Factorise:
2x2 + 7x + 3
उत्तर
We can find two numbers: pq = 2 × 3 = 6 and p + q = 7
They are p = 6 and q = 1
Here, 2x2 + 7x + 3
= 2x2 + 6x + x + 3
= 2x (x + 3) + 1 (x + 3)
= (x + 3) (2x + 1)
APPEARS IN
संबंधित प्रश्न
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
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = `kx^2 - sqrt2x +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 factor of the polynomial given below.
`1/2x^2 - 3x + 4`
Factorize the following polynomial.
(y + 2) (y – 3) (y + 8) (y + 3) + 56
Show that 2x – 3 is a factor of x + 2x3 – 9x2 + 12.
Factorise the following:
1 – 64a3 – 12a + 48a2
Factorise:
a3 – 8b3 – 64c3 – 24abc