Don't go with your gut!

Algebra Level 2

Straightforward multiplication of two polynomials of degree m − 1 m-1 results in a polynomial of degree a a . What is the value of a a ?

2 m 2m m 2 m^2 m 2 − 2 m^2-2 2 m − 2 2m-2

Ammarah Ehsan by Ammarah Ehsan , 27, Pakistan

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Hung Woei Neoh
May 18, 2016

Use the simplest example of the polynomials to get the answer.

Let f ( x ) = p x m − 1 f(x) = px^{m-1} and g ( x ) = q x m − 1 g(x) = qx^{m-1} , where p p and q q are constants.

f ( x ) g ( x ) = p x m − 1 ( q x m − 1 ) = p q ( x m − 1 ) 2 = p q x 2 ( m − 1 ) = p q x 2 m − 2 f(x)g(x) = px^{m-1}(qx^{m-1})=pq(x^{m-1})^2 = pqx^{2(m-1)} = pqx^{2m-2}

a = 2 m − 2 a=\boxed{2m-2}

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Akash Patalwanshi
May 19, 2016

Take the example!!, If two polynomials, are of degree 3 = 4 − 1 3 = 4-1 then their multiplication is polynomial of degree 6 = 2 × 4 − 2 6 = 2\times 4 - 2

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...