Which of the following is a linear polynomial?

4 x^{2} + 5

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x + 9

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x^{4} + x^{3} + x^{2} + 1

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None of the above

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Solution

The correct option is C $x + 9$
Degree is the highest power of $x$ in a given polynomial $P (x)$ .

Option A: Degree of $4 x^{2} + 5 \Rightarrow 2$
Option B: Degree of $x + 9 \Rightarrow 1$
Option C: Degree of $x^{4} + x^{3} + x^{2} + 1 \Rightarrow 4$

Since, the degree of option B is $1$ , it is a linear polynomial.

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Similar questions

Which of the following is a linear expression ?

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d) $4 x^{2} + 1$

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If the length and breadth of a rectangle are $(x^{2} - x + 2)$ cm and $(x^{2} + x - 2)$ cm respectively, find the area of the rectangle.

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