1. Is x2−25x+x a polynomial? If not, state a reason. 2. Is -2020x a polynomial?...

joygielymmeloiy

joygielymmeloiy

Answered

2022-01-31

1. Is x225x+x a polynomial? If not, state a reason.
2. Is -2020x a polynomial? If not, state a reason.
3. Is x23+3x+1 a polynomial? If not, state a reason.
4. Is 1x2+rx3+rx4 a polynomial? If not, state a reason.
5. Is π a polynomial? If not, state a reason.
6. Is x32+checkmark3x2 a polynomial? If not, state a reason.
7. Is x3+2x+1 a polynomial? If not, state a reason.
8. Is 2x3+x3 a polynomial? If not, state a reason.
9. Is 14x2 a polynomial? If not, state a reason.

Answer & Explanation

Roman Stevens

Roman Stevens

Expert

2022-02-01Added 10 answers

Step 1
Polynomials:
Let a0,a1a2...................an and  "n"  be  a  non-negatine   integer
A  polynomial  in  x  is  an  expression  of  the  form,
it anxn+an-1xn-1++a1x+a0
Step 2
A polynomial is a function with non-negative integral power.
Consider the polynomials,
x3+25x+x
It's not polynomials because polynomial have only integral power,
x3+25x+x=x3+25x12+x
It 's  not  a  polynomials  because   term 25x12 having  fractional  power.
Step 3
Consider the polynomials,
- 2020x
It is linear polynomials.

Therefore, -2020x is polynomials
Step 4
Consider the polynomials,
x23+3x+1
It is not a polynomial because the power of “x” (23) having fractional power.

A polynomial only contains integer powers of "x."

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