Question

if a polynomial of degree five is divided by a quadratic polynomial,then the degree of the quotient polynomial is ___________. fill the blank. urgent with correct answer​

Answer 1

Answer:

Polynomial

Step-by-step explanation:

From the question,

Degree of  polynomial p(x) = $x^{5}$

Degree of divisor g(x) = $x^{2}$  

 (divisor is a quadratic polynomial $ax^{2} + bx + c$ type)

⇒ Then the degree of quotient q(x) = $x^{5 -2} = x^{3}$

Answer 2

If a polynomial of degree five is divided by a quadratic polynomial, then the degree of the quotient polynomial is three.

Explanation:

• Polynomial of degree five is of the form ax⁵ + bx⁴ + cx³ + dx² + ex + f, where a ≠ 0.
• A quadratic polynomial, i.e., a polynomial of degree two is of the form gx² + hx + c, where g ≠ 0.
• Here, dividend = ax⁵ + bx⁴ + cx³ + dx² + ex + f, divisor = gx² + hx + c.
• We have: 5 = 2 + 3 because in multiplication of exponents, we add them.

Answer: Therefore the degree of the quotient is three.