Advertisements
Advertisements
Question
If f(x) = 3x + 8; the value of f(x) + f(– x) is ______.
Options
8
16
– 8
– 16
Advertisements
Solution
If f(x) = 3x + 8; the value of f(x) + f(– x) is 16.
Explanation:
Given f(x) = 3x + 8
∴ f(– x) = – 3x + 8
Thus, f(x) + f(– x)
= 3x + 8 – 3x + 8
= 16
APPEARS IN
RELATED QUESTIONS
A two digit positive number is such that the product of its digits is 6. If 9 is added to the number, the digits interchange their places. Find the number.
Factorise the expression f(x) = 2x3 – 7x2 – 3x + 18. Hence, find all possible values of x for which f(x) = 0.
Find the number that must be subtracted from the polynomial 3y3 + y2 – 22y + 15, so that the resulting polynomial is completely divisible by y + 3.
Show that (x – 1) is a factor of x3 – 7x2 + 14x – 8. Hence, completely factorise the given expression.
The polynomial px3 + 4x2 – 3x + q is completely divisible by x2 – 1; find the values of p and q. Also, for these values of p and q, factorize the given polynomial completely.
Using remainder Theorem, factorise:
2x3 + 7x2 − 8x – 28 Completely
In the following two polynomials. Find the value of ‘a’ if x + a is a factor of each of the two:
x3 + ax2 − 2x + a + 4
Use factor theorem to factorise the following polynomials completely: x3 – 19x – 30
While factorizing a given polynomial using the remainder and factor theorem, a student finds that (2x + 1) is a factor of 2x3 + 7x2 + 2x – 3.
- Is the student’s solution correct in stating that (2x + 1) is a factor of the given polynomial?
- Give a valid reason for your answer.
Also, factorize the given polynomial completely.
If (x – a) is a factor of x3 – ax2 + x + 5; the value of a is ______.
