If p(x) = x + 3, then p(x) + p(-x) is equal to
a. 3
b. 2x
c. 0
d. 6

Solution:

It is given that

p(x) = x + 3

We have to find the value if p(x) + p(-x)

Here p(-x) = -x + 3

p(x) + p(-x) = x + 3 + (-x + 3)

So we get

p(x) + p(-x) = x + 3 - x + 3

p(x) + p(-x) = 6

Therefore, p(x) + p(-x) is equal to 6.

✦ Try This: If p(x) = x + 5, then p(x) + p(-x) is equal to

It is given that

p(x) = x + 5

We have to find the value if p(x) + p(-x)

Here p(-x) = -x + 5

p(x) + p(-x) = x + 5 + (-x + 5)

So we get

p(x) + p(-x) = x + 5 - x + 5

p(x) + p(-x) = 10

Therefore, p(x) + p(-x) is equal to 10.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2

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NCERT Exemplar Class 9 Maths Exercise 2.1 Problem 7

If p(x) = x + 3, then p(x) + p(-x) is equal to a. 3, b. 2x, c. 0, d. 6

Summary:

The highest sum of the exponents is known as the degree of a polynomial. If p(x) = x + 3, then p(x) + p(-x) is equal to 6

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☛ Related Questions:

• Zero of the zero polynomial is a. 0, b. 1, c. Any real number, d. Not defined
• Zero of the polynomial p(x) = 2x + 5 is a. -2/5, b. -5/2, c. 2/5, d. 5/2
• One of the zeroes of the polynomial 2x² + 7x -4 is a. 2, b. 1/2, c. -1/2, d. -2