Advertisements
Advertisements
प्रश्न
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = x2 + x + k
Find the value of k if x – 1 is a factor of x2 + x + k.
Advertisements
उत्तर
If x − 1 is a factor of polynomial p(x), then p(1) must be 0.
p(x) = x2 + x + k
p(1) = 0
⇒ (1)2 + 1 + k = 0
⇒ 2 + k = 0
⇒ k = −2
Therefore, 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) = kx2 – 3x + k
Factorise:
x3 – 2x2 – x + 2
Factorise:
x3 – 3x2 – 9x – 5
Find the Factors of the Polynomial Given Below.
2x2 + x – 1
Find the factor of the polynomial given below.
`1/2x^2 - 3x + 4`
Factorize the following polynomial.
(x2 – x)2 – 8 (x2 – x) + 12
Which of the following is a factor of (x + y)3 – (x3 + y3)?
Determine which of the following polynomials has x – 2 a factor:
3x2 + 6x – 24
Factorise the following:
9x2 – 12x + 4
Factorise the following:
`8p^3 + 12/5 p^2 + 6/25 p + 1/125`
