Advertisements
Advertisements
प्रश्न
If x + 1 is a factor of the polynomial 2x2 + kx, then the value of k is ______.
पर्याय
–3
4
2
–2
Advertisements
उत्तर
If x + 1 is a factor of the polynomial 2x2 + kx, then the value of k is 2.
Explanation:
Let p(x) = 2x2 + kx
Since, (x + 1) is a factor of p(x), then
p(–1) = 0
2(–1)2 + k(–1) = 0
⇒ 2 – k = 0
⇒ k = 2
Hence, the value of k is 2.
APPEARS IN
संबंधित प्रश्न
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:
6x2 + 5x – 6
Find the factor of the polynomial given below.
12x2 + 61x + 77
Find the factor of the polynomial given below.
`sqrt 3 x^2 + 4x + sqrt 3`
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.
(y2 + 5y) (y2 + 5y – 2) – 24
x + 1 is a factor of the polynomial ______.
The factorisation of 4x2 + 8x + 3 is ______.
Factorise:
6x2 + 7x – 3
