Advertisements
Advertisements
Question
Find the value of k, if 3x – 4 is a factor of expression 3x2 + 2x − k.
Advertisements
Solution
3x – 4 is a factor of g(x) = 3x2 + 2x − k.
∴ `f(4/3) = 0`
`\implies 3(4/3)^2 + 2(4/3) - k = 0`
`\implies 16/3 + 8/3 - k = 0`
`\implies 24/3 = k`
`\implies` k = 8
RELATED QUESTIONS
If x – 2 is a factor of x2 + ax + b and a + b = 1, find the values of a and b.
Prove that ( p-q) is a factor of (q - r)3 + (r - p) 3
Find the value of a , if (x - a) is a factor of x3 - a2x + x + 2.
The expression 2x3 + ax2 + bx - 2 leaves the remainder 7 and 0 when divided by (2x - 3) and (x + 2) respectively calculate the value of a and b. With these value of a and b factorise the expression completely.
If x – 2 is a factor of 2x3 - x2 - px - 2.
Find the value of p
If (2x + 1) is a factor of 6x3 + 5x2 + ax – 2 find the value of a.
Determine whether (x – 1) is a factor of the following polynomials:
x4 + 5x2 – 5x + 1
If both (x − 2) and `(x - 1/2)` is the factors of ax2 + 5x + b, then show that a = b
Check if (x + 2) and (x – 4) are the sides of a rectangle whose area is x2 – 2x – 8 by using factor theorem
Which of the following is a factor of (x – 2)2 – (x2 – 4)?
