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Polynomials

Short Answer Type

31.

Write the various coefficients in each of the following polynomials:

(i) x⁷ - 3x⁵ + 4 (ii) 5y² - 3y + 2

(iii) x⁴ - 3x² + 1 (iv) 1 - 2y + 3y⁶

(v) 7.

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32.
How many terms are there in each of the following polynomials? Write them for each polynomial.

(i) 3x² - 5x + 7 (ii) t - 7t² + 5 - t³(iii) x⁴ - 3x² + 2 (iv) 5 - 3y + 2y⁶(v) 7 (vi) 3 - 2x.

(i) 3x² - 5x + 7
Number of terms = 3
Terms: 3x², - 5x, 7.
(ii)    t - 7t + 5 - t³Number of terms = 4
Terms: t, - 7t², 5, - t³.
(iii)    x⁴ - 3x² + 2
Number of terms = 3
Terms: x⁴, - 3x², 2.
(iv)    5 - 3y + 2y⁶Number of terms = 3
Terms: 5, - 3y, 2y⁶.
(v)    7
Number of term = 1
Term: 7 (only).
(vi)    3 - 2x
Number of terms = 2
Terms: 3, - 2x.

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33. Write the coefficient of x³ in each of the following polynomials:

2 over 3 minus 5 over 4 x plus x cubed plus 1 half x squared

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34. Write the coefficient of x³ in each of the following polynomials:

1 + x² + x⁴ - x - x³

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35. Write the coefficient of x³ in each of the following polynomials:

2x³ - 7x + x² + 3x⁴

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36. Write the coefficient of x³ in each of the following polynomials:

straight x over 2 minus x squared over 3 plus x cubed over 4

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37.

Find the degree of each of the polynomials given below:

(i) x⁵ - x⁴ + 3 (ii) 2 - y² - y³ + 2y⁸(iii) 2.

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38.

Point out which of the following polynomials are monomials, binomials or trinomials?
(i) x³ + 2x - 3    (ii) x³ + 8
(iii) 4x + 3x    (iv) 8
(v) 5x³ + 2x³    (vi) 7x² - 5.

123 Views