Advertisements
Advertisements
प्रश्न
If mx2 – nx + 8 has x – 2 as a factor, then ______.
विकल्प
2m – n = 4
2m + n = 4
2n + m = 4
n – 2m = 4
Advertisements
उत्तर
If mx2 – nx + 8 has x – 2 as a factor, then n – 2m = 4.
Explanation:
Let f(x) = mx2 – nx + 8
Given x – 2 is a factor of f(x).
Then f(2) = 0
`\implies` m × 22 – n × 2 + 8 = 0
`\implies` 4m – 2n + 8 = 0
`\implies` 2m – n + 4 = 0
`\implies` n – 2m = 4
संबंधित प्रश्न
Using the Factor Theorem, show that (x + 5) is a factor of 2x3 + 5x2 – 28x – 15. Hence, factorise the expression 2x3 + 5x2 – 28x – 15 completely.
By using factor theorem in the following example, determine whether q(x) is a factor p(x) or not.
p(x) = x3 − x2 − x − 1, q(x) = x − 1
If x - 2 and `x - 1/2` both are the factors of the polynomial nx2 − 5x + m, then show that m = n = 2
Prove by factor theorem that
(x - 3) is a factor of 5x2 - 21 x +18
Prove that ( p-q) is a factor of (q - r)3 + (r - p) 3
If (x - 2) is a factor of the expression 2x3 + ax2 + bx - 14 and when the expression is divided by (x - 3), it leaves a remainder 52, find the values of a and b.
If x – 2 is a factor of 2x3 - x2 - px - 2.
Find the value of p
Use factor theorem to factorise the following polynominals completely.
x3 + 2x2 – 5x – 6
Determine whether (x – 1) is a factor of the following polynomials:
x4 + 5x2 – 5x + 1
Factors of 3x3 – 2x2 – 8x are ______.
