Polynomials Test

Result

Polynomials Test - 4

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Weekly Quiz Competition

Question 1
1 / -0

√2 is a polynomial of degree

A
2

B
1

C
√2

D
0

Solution

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

The degree of the zero polynomial is

A
0

B
1

C
any natural number

D
not defined

Solution

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

For zero polynomial aⁿ = 0.

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

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

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

A
2x

B
0

C
6

D
3

Solution

p(x) = x + 3

And p(-x) = -x + 3

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

= x + 3 - x + 3

= 6
Question 4
1 / -0

One of the zeroes of the polynomial 2 x² + 7x – 4 is

A
1/2

B
−1/2

C
2

D
-2

Solution

2 x² + 7x – 4

= 2x²+ 8x − x − 4

= 2x(x + 4) - 1(x + 4)

= (2x - 1)(x + 4)

2x - 1 = 0 and x + 4 = 0

x=1/2 and x = -4

Therefore, one zero of the given polynomial is 1/2