(D) The degree of a polynomial is the highest power of the variable present in the expression.For the given polynomial $p(x) = 7x^2 - 5x^3 + 3$,the po

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(D) The degree of a polynomial is the highest power of the variable present in the expression.For the given polynomial $p(x) = 7x^2 - 5x^3 + 3$,the powers of $x$ are $2$,$3$,and $0$ (since $3 = 3x^0$).The highest power is $3$.$A$ polynomial with a degree of $3$ is called a cubic polynomial.Therefore,the correct option is $D$.

Class 10 Mathematics Polynomials Relationship between Zeroes and Coefficients of a Polynomial

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Identify the type of the following polynomial based on its degree: $p(x) = 7x^2 - 5x^3 + 3$.

A
None of these
B
Linear
C
Quadratic
D
Cubic

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Relationship between Zeroes and Coefficients of a Polynomial

Obtain the zeros of $p(x) = 6x^2 - x - 2$. Also,verify the relationship between the zeros and the coefficients of $p(x)$.

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If $x+1$ is a factor of $2x^{3}+ax^{2}+2bx+1$,then find the values of $a$ and $b$ given that $2a-3b=4$.

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State the degree of the given polynomial: $p(x) = x^{2} - \sqrt{3}x^{3} + 4x^{7} + 9$.

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The zeroes of the quadratic polynomial $x^{2}+99x+127$ are

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Prove that $1/2, 1$ and $-2$ are the zeros of the cubic polynomial $p(x) = 2x^3 + x^2 - 5x + 2$. Also,verify the relationship between the zeros and the coefficients.

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Identify the type of the following polynomial based on its degree: $p(x) = 7x^2 - 5x^3 + 3$.

Similar Questions

Obtain the zeros of $p(x) = 6x^2 - x - 2$. Also,verify the relationship between the zeros and the coefficients of $p(x)$.

If $x+1$ is a factor of $2x^{3}+ax^{2}+2bx+1$,then find the values of $a$ and $b$ given that $2a-3b=4$.

State the degree of the given polynomial: $p(x) = x^{2} - \sqrt{3}x^{3} + 4x^{7} + 9$.

The zeroes of the quadratic polynomial $x^{2}+99x+127$ are

Prove that $1/2, 1$ and $-2$ are the zeros of the cubic polynomial $p(x) = 2x^3 + x^2 - 5x + 2$. Also,verify the relationship between the zeros and the coefficients.

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