Identify the type of the following polynomial | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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 -

Vedclass · Accepted Answer

quadratic

Vedclass · Answer

(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 $B$.

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

Similar Questions

State the degree of the following polynomial: $p(x) = 6 - 5x^3 + 4x^5 - 5x^2$.

Find the division of the following by synthetic division method: $p(x) = x^{4} + 1$ by $x + 1$.

The product of the zeros of the polynomial $kx^{3}-6x^{2}+11x-6$ is $4$. Find the value of $k$.

The product of two polynomials is $3x^3 - x^2 - 3x + 1$ and one of the polynomials is $3x^2 + 2x - 1$. Find the other polynomial.

Divide $x^{4}-3 x^{2}+4 x+5$ by $x^{2}-x+1$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module