Advertisements
Advertisements
Questions
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
Solution
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.
RELATED QUESTIONS
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = `kx^2 - sqrt2x +1`
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:
2y3 + y2 – 2y – 1
Find the Factors of the Polynomial Given Below.
2x2 + x – 1
Find the factor of the polynomial given below.
3y2 – 2y – 1
If x + 1 is a factor of the polynomial 2x2 + kx, then the value of k is ______.
x + 1 is a factor of the polynomial ______.
Factorise the following:
9x2 – 12x + 3
Factorise the following:
1 – 64a3 – 12a + 48a2
