Polynomials Test

Result

Polynomials Test - 1

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Question 1
1 / -0

√2 is a polynomial of degree

A
√2

B
2

C
0

D
1

Solution

Explanation:

√2 is a constant term. Therefore, the degree of √2 is 0.
Question 2
1 / -0

The degree of the zero polynomial is

A
not defined

B
0

C
any natural number

D
1

Solution

Explanation:

The general form of a polynomial is a_nxⁿ^, where n is a natural number.

For zero polynomial a_n= 0.

Since the largest value of n for which a_n is non-zero is negative infinity (all the integers are bigger than negative infinity).

Therefore, the degree ofzero polynomials is not defined.
Question 3
1 / -0

If p(x) = x + 3, then p(x) + p(-x) is equal to

A
6

B
0

C
2x

D
3

Solution

Explanation:

p(x) = x + 3

And p(-x) = -x + 3

Then, p(x) + p(-x)

= x + 3 - x + 3

= 6
Question 4
1 / -0

The zero of the polynomial p(x) = 5x – 2 is

A
−2/5

B
2/5

C
5/2

D
−5/2

Solution

Explanation:

p(x) = 5x - 2

To find zero of the polynomial, we write

5x−2=0

=> 5x=2

=> x=2/5