(B) To identify the type of polynomial,we first simplify the expression $p(x) = (x - 15)(x + 15)$.Using the algebraic identity $(a - b)(a + b) = a^2 -

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(B) To identify the type of polynomial,we first simplify the expression $p(x) = (x - 15)(x + 15)$.Using the algebraic identity $(a - b)(a + b) = a^2 - b^2$,we get:$p(x) = x^2 - 15^2$$p(x) = x^2 - 225$The highest power (degree) of the variable $x$ in this polynomial is $2$.$A$ polynomial with a degree of $2$ is called a quadratic polynomial.Therefore,the correct option is $B$.

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

Easy

Identify the type of the following polynomial based on its degree: $p(x) = (x - 15)(x + 15)$

A
cubic
B
quadratic
C
linear
D
None of these

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Polynomials

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Relationship between Zeroes and Coefficients of a Polynomial

If the zero of the polynomial $p(x) = 3x^{3} - x^{2} - ax - 45$ is $3$,then $a = \dots$

Medium

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Find a cubic polynomial with the sum,sum of the product of its zeroes taken two at a time,and the product of its zeroes as $2, -7, -14$ respectively.

Medium

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

Easy

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If two zeroes of the polynomial $x^{4}-6 x^{3}-26 x^{2}+138 x-35$ are $2 \pm \sqrt{3},$ find other zeroes.

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Prove that $x+2$ is a factor of $p(x)=2x^{3}-4x^{2}+5x+42$.

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Identify the type of the following polynomial based on its degree: $p(x) = (x - 15)(x + 15)$

Similar Questions

If the zero of the polynomial $p(x) = 3x^{3} - x^{2} - ax - 45$ is $3$,then $a = \dots$

Find a cubic polynomial with the sum,sum of the product of its zeroes taken two at a time,and the product of its zeroes as $2, -7, -14$ respectively.

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

If two zeroes of the polynomial $x^{4}-6 x^{3}-26 x^{2}+138 x-35$ are $2 \pm \sqrt{3},$ find other zeroes.

Prove that $x+2$ is a factor of $p(x)=2x^{3}-4x^{2}+5x+42$.

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