Question

Please tell me asap.

Answer 1

★ Answer :

• Polynomials are those expressions which have more than two algebraic terms.
• Degree of a polynomial is the highest power of the algebraic expressions.

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A.T.Q

(i) x⁵ - 2x³ + x + √3 → It is a polynomial, Degree = 5.

(ii) y³ + √3y → It is a polynomial, Degree = 3.

(iii) t² - $\dfrac{2}{5}$ t + √5 → It is a polynomial, Degree = 2.

(iv) x¹⁰⁰ - 1 → It is a polynomial, Degree = 100.

(v) $\dfrac{1}{\sqrt{2}}$ x² - √2x + 2 → It is a polynomial, Degree = 2.

(vi) $\sf{x^{-2} + 2x^{-1} + 3}$ → It is a polynomial, Degree = -2.

(vii) 1 → It is not a polynomial.

(viii) $\dfrac{-3}{5}$ → It is not a polynomial.

(ix) $\sf{\dfrac{x^2}{2} - \dfrac{2}{x^2}}$ → It is a polynomial, Degree = 4.

(x) √2x² - 8 → It is a polynomial, Degree = 2.

(xi) $\sf{\dfrac{1}{2x^2}}$ It is not a polynomial.

(xii) $\sf{\frac{1}{\sqrt{5} x^{\frac{1}{2}} + 1 }}$ It is not a polynomial.

(xiii) $\sf{\dfrac{3}{5} x^2 - \dfrac{7}{3}x + 9 }$ → It is a polynomial, Degree = 2.

(xiv) x⁴ - $x^{\frac{3}{2}}$ + x - 3 → It is a polynomial, Degree = 4.

(xv) 2x³ + 3x² + √x - 1 → It is a polynomial, Degree = 1.