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Standard VIII

Mathematics

Coefficients

The coefficie...

Question

The coefficients of $x^{2}$ and $x$ in $2 x^{3} - 3 x^{2} - 2 x + 3$ are respectively

2, 3

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- 3, - 2

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- 2, - 3

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2, - 3

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Solution

The correct option is B $- 3, - 2$
we can see the coefficients of $x^{2}$ and $x$ are $- 3$ and $- 2$

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Similar questions

Q. Find the coefficients of

x^{2}

and

x

(\frac{x}{2} + 1) (\frac{x}{2} + 2) (\frac{x}{2} + 3)

Write

(i) the coefficient of $x^{3}$ in $x + 3 x^{2} - 5 x^{3} + x^{4}$

(ii) the coefficient of $x$ in $\sqrt{3} - 2 \sqrt{2} x + 6 x^{2}$

(iii) the coefficient of $x^{2}$ in $2 x - 3 + x^{3}$

(iv) the coefficient of $x$ in $\frac{3}{8} x^{2} - \frac{2}{7} x + \frac{1}{6}$

(v) the constant term in $\frac{π}{2} x^{2} + 7 x - \frac{2}{5} π$

Q. Obtain all roots of the polynomial

x^{4} - 3 \sqrt{2} x^{3} + 3 x^{2} + 3 \sqrt{2 x} + 4,

if two of its roots are

\sqrt{2}, a n d, 2 \sqrt{2}

Q. If

f (x) = {\begin{matrix} x^{2} - 4 x + 3, & x < 2 x - 4, & x \geq 2 \end{matrix}

g (x) = {\begin{matrix} x - 3, & x < 3 x^{2} + 2 x + 2, & x \geq 3 \end{matrix}

Determine

\frac{f}{g} \cdot (1)

Which of the following expressions are polynomials? In case of a polynomial, write its degree.

(i) $x^{5} - 2 x^{3} + x + \sqrt{3}$

(ii) $y^{3} + \sqrt{3} y$

(iii) $t^{2} - \frac{2}{5} t + \sqrt{5}$

(iv) $x^{1000} - 1$

(v) $\frac{1}{\sqrt{2}} x^{2} - \sqrt{2} x + 2$

(vi) $x^{- 2} + 2 x^{- 1} + 3$

(vii) $1$

(viii) $\frac{- 3}{5}$

(ix) $\frac{x^{2}}{2} - \frac{2}{x^{2}}$

(x) $\sqrt[2]{2} x^{2} - 8$

(xi) $\frac{1}{2 x^{2}}$

(xii) $\frac{1}{\sqrt{5}} x^{\frac{1}{2}} + 1$

(xiii) $\frac{3}{5} x^{2} - \frac{7}{3} x + 9$

(xiv) $x^{4} - x^{\frac{3}{2}} + x - 3$

(xv) $2 x^{3} + 3 x^{2} + \sqrt{x} - 1$

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The coefficients of x2 and x in 2x3−3x2−2x+3 are respectively

The correct option is B −3,−2we can see the coefficients of x2 andx are −3 and −2

The coefficients of $x^{2}$ and $x$ in $2 x^{3} - 3 x^{2} - 2 x + 3$ are respectively

The correct option is B $- 3, - 2$
we can see the coefficients of $x^{2}$ and $x$ are $- 3$ and $- 2$