Question

If an algebraic polynomial of degree 3 is divided by another polynomial of degree 2, then the resulting polynomial’s degree is?

Answer 1

Answer:

1

Step-by-step explanation:

because

through induces formula

m^n/ m^n = n-n

so, suppose

m^3/ m^2 = 3-2 = 1

so, answer is 1

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Answer 2

SOLUTION

GIVEN

An algebraic polynomial of degree 3 is divided by another polynomial of degree 2

TO DETERMINE

The degree of the resulting polynomial

EVALUATION

Let the algebraic polynomial f(x) of degree 3 is divided by another polynomial g(x) of degree 2

Also let the resulting polynomial is q(x)

Now Division algorithm states that

If f(x) and g(x) be two polynomials of degree n and m respectively and n ≥ m . Then there exist two uniquely determined polynomials q(x) and r(x) satisfying

f(x) = g(x) q(x) + r(x)

Where the degree of q(x) is n - m and r(x) is either a zero polynomial or the degree of r(x) is less than m

Degree of f(x) = 3

Degree of g(x) = 2

Degree of q(x) = 3 - 2 = 1

FINAL ANSWER

The degree of the resulting polynomial = 1

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