Recent content by littlemathquark

According to first way of definition of coefficient, ##x^5## term is undefined.

Let ##p(x)=3x^4+x^2-4## and ##Q(x)=3x^4+(a-1)x^3+x^2+(b+2)x-4## if ##p(x)=Q(x)## then find ##a+b## In the first method of defining coefficients, how can the problem above be solved when the coefficients of ##x^3## and ##x## in the polynomial ##p## are undefined? There's no problem if we...

Ok, thank you. İs these true ? if ##p(x)=x^7## is an algebraic expression then it's s only one term but if ##p(x)=x^7## is an polynomial there may be 7+1=8 terms according to context.

A friend of mine asked the question and there is no information about context and definitions.

I encountered the following question on the topic and came up with two solutions. I couldn't decide which one is correct: Let ##a## and ##b## be two real numbers. One of the terms of the ##7-term## polynomial ##P(x)=x(x-1)^a## is ##b.x^5##. Find sum of ##a+b## First Solution: there are...

But this example not polynomial.

I try to achive true or logical answers. For b) I'm looking for #x^1# term if it's exist.

İt is from my mind and not sure which definition must follow.

I can't answer these questions: Let ##P(x)=3x^5+x^2-4## a) What's the product of coefficients of polynomial ##P(x)##? ##-12## or ##0##? b)What's the first- degree term of the polynomial ##P(x)##? ##0## or not exist?

Thank you. Also İf for example ##P(x)=0x^8+0x^7+0x^6+3x^5+x^2-4## we can't say degree of ##P(x)##. Am I right?

Could you elaborate a little more on what you mean and provide an example? Thank you.

101 terms. But sometimes P(x) is called "trinom" but it's 6 terms.

Which is true? ##P(x) =3x^5+x^2-4## has three terms (##3x^5,x^2 and - 4)## or ##P(x) ## has 6 terms (##3x^5,0.x^4,0.x^3,x^2,0.x and - 4##) and which must prefer, why?

because DegP(x)=5

Let polynomial ##P(x)=3x^5+x^2-4## so what is the number of term of ##P(x)##? İt's 5+1=6 terms because of ##degP(x)=5## (since ##P(x)=3x^5+0.x^4+0.x^3+x^2-4##) or only three terms? Why?