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11.

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

y² + $square root of 2$

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12. Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

3 square root of straight t plus straight t square root of 2

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13. Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.

straight y plus 2 over straight y

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x¹⁰+ y³ + t⁵⁰This expression is not a polynomial in one variable because in the expression, three variables (x, y and t) occur.

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15. Write the coefficients of x² in each of the following:

2 + x² + x

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16. Write the coefficients of x² in each of the following:
2 - x² + x³

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17. Write the coefficients of x² in each of the following:

straight pi over 2 x squared plus x

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18. Write the coefficients of x² in each of the following:

square root of 2 straight x end root minus 1

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19. Give one example each of a binomial of degree 35, and of a monomial of degree 100.

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20. Write the degrees of each of the following polynomials:

5x³ + 4x²+ 7x

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