Question

If the polynomial of degree 5 is divided by a polynomial of degree 3, then the degree of the quotient is
(a) less than 2 (b) equal to 2 (c) equal to 4
(d) more than 4
The graph of a quadratic polynomial is a​

Answer 1

Question :- If the polynomial of degree 5 is divided by a polynomial of degree 3, then the degree of the quotient is

(a) less than 2

(b) equal to 2

(c) equal to 4

(d) more than 4.

Solution :-

Concept :-

• If a polynomial with degree m is divided by another polynomial with degree n, then what is the degree of the quotient will be (m - n).

Example :-

→ x³ ÷ x = x^(3 - 1) = x² .

→ x⁵ ÷ x³ = x^(5 - 3) = x².

Hence,

→ If the polynomial of degree 5 is divided by a polynomial of degree 3, then the degree of the quotient is = 5 - 3 = Equal to 2 . (Option B). (Ans.)

See also :-

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Answer 2

Answer:

ANSWER IS (5-3) =2 because of the rule of exponents and power :

a^m/a^n = a^(m-n)