Multiplying 2 linear functions

shahar

shahar

Full Member
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Jul 19, 2018
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497
How I prove that multiplying 2 linear functions can give in the result with power 3? power 4? power n?
(n > 2)
 
Are you asking if you can show that (x - a)(x - b) can be a cubic function [imath]cx^3+ dx^2 + cx + d[/imath]? Or am I misunderstanding the question?

-Dan
 
topsquark said:
Are you asking if you can show that (x - a)(x - b) can be a cubic function [imath]cx^3+ dx^2 + cx + d[/imath]? Or am I misunderstanding the question?

-Dan
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Yes. How can I show it (that the solution can be cubic, for example)?
 
You can't prove it- it isn't true! Any two linear function are of the form y= ax+ b and y= cx+ d for numbers a, b, c, and d. Their product is (ax+ b)(cx+ d)= acx^2+ (bc+ ad)x+ bd, of degree 2, NOT 3 or 4.

In general the product of two polynomials of degrees m and n is a polynomial of degree m+ n.
 
Shiloh said:
You can't prove it- it isn't true! Any two linear function are of the form y= ax+ b and y= cx+ d for numbers a, b, c, and d. Their product is (ax+ b)(cx+ d)= acx^2+ (bc+ ad)x+ bd, of degree 2, NOT 3 or 4.

In general the product of two polynomials of degrees m and n is a polynomial of degree m+ n.
Click to expand...
I meant how to prove that isn't true. How can I prove it? By powers laws?!
 
shahar said:
I meant how to prove that isn't true. How can I prove it? By powers laws?!
Click to expand...
Shiloh gave you the proof in post #5. He showed that the product of two linear functions is a quadratic. Not a cubic, or quartic, or etc.

-Dan
 
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