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Which of the following is a linear polynomial?

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x^{2} + 1

y + y^{2}

4

1 + z

answer is D.

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Detailed Solution

Here, we have to find the linear polynomial out of given options.
A linear polynomial is a kind of polynomial in which the variable’s highest degree is 1.
In option 1),

x^{2} + 1

is a quadratic polynomial because the degree of

x

2 .

In option 2),

y + y^{2}

is a quadratic polynomial because the degree of

y

2 .

In option 3),

4 = 4 x^{0}

is a constant polynomial because the degree of

x

0 .

In option 4),

1 + z

is a linear polynomial because the degree of

z

1 .

Hence, option 4 is correct.

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