Advertisements
Advertisements
प्रश्न
Find the factor of the polynomial given below.
3y2 – 2y – 1
Advertisements
उत्तर
3y2 – 2y – 1
= 3y2 – 3y + y – 1
= 3y (y – 1) + 1 (y – 1)
= (y – 1) (3y + 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) = kx2 – 3x + k
Factorise:
x3 – 2x2 – x + 2
Factorise:
x3 + 13x2 + 32x + 20
Determine the following polynomial has (x + 1) a factor:
x4 + x3 + x2 + x + 1
Find the factor of the polynomial given below.
2m2 + 5m – 3
Find the factor of the polynomial given below.
12x2 + 61x + 77
Find the factor of the polynomial given below.
`1/2x^2 - 3x + 4`
Factorize the following polynomial.
(x – 5)2 – (5x – 25) – 24
Factorize the following polynomial.
(x2 – 6x)2 – 8 (x2 – 6x + 8) – 64
Factorize the following polynomial.
(x2 – 2x + 3) (x2 – 2x + 5) – 35
Factorize the following polynomial.
(y + 2) (y – 3) (y + 8) (y + 3) + 56
x + 1 is a factor of the polynomial ______.
Show that p – 1 is a factor of p10 – 1 and also of p11 – 1.
Factorise:
6x2 + 7x – 3
Factorise the following:
9x2 – 12x + 4
Find the following product:
(2x – y + 3z)(4x2 + y2 + 9z2 + 2xy + 3yz – 6xz)
Without finding the cubes, factorise:
(x – 2y)3 + (2y – 3z)3 + (3z – x)3
If both x – 2 and `x - 1/2` are factors of px2 + 5x + r, show that p = r.
