Which of the following polynomial funciton formulas are written in standard form? Select all that apply.
$f (x) = x^{2} - 1$
$f (x) = 1 + 3 x^{2} + 7 x^{4}$
$f (x) = 1 + x + x^{2} + x^{3}$
$f (x) = x^{5} + 5 x^{3} + 6 x + 11$
$f (x) = 4 x^{8} - 11 x^{3} - 103$

Answer

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Answer

$T h e p o l y n o m i a l f u n c t i o n s w r i t t e n i n s t a n d a r d f o r m a r e $f (x) = x^{2} - 1 $, $f (x) = x^{5} + 5 x^{3} + 6 x + 11 $, a n d $f (x) = 4 x^{8} - 11 x^{3} - 103 $$

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Step 1 ：The standard form of a polynomial function is written with the terms in descending order by degree. That is, the term with the highest degree is written first, followed by the term with the next highest degree, and so on, until the term with the lowest degree (the constant term) is written last.

Step 2 ：Let's check each function one by one.

Step 3 ：Functions are: $f (x) = x^{2} - 1$ , $f (x) = 1 + 3 x^{2} + 7 x^{4}$ , $f (x) = 1 + x + x^{2} + x^{3}$ , $f (x) = x^{5} + 5 x^{3} + 6 x + 11$ , $f (x) = 4 x^{8} - 11 x^{3} - 103$

Step 4 ：The polynomial functions written in standard form are $f (x) = x^{2} - 1$ , $f (x) = x^{5} + 5 x^{3} + 6 x + 11$ , and $f (x) = 4 x^{8} - 11 x^{3} - 103$

Step 5 ： $T h e p o l y n o m i a l f u n c t i o n s w r i t t e n i n s t a n d a r d f o r m a r e $f (x) = x^{2} - 1 $, $f (x) = x^{5} + 5 x^{3} + 6 x + 11 $, a n d $f (x) = 4 x^{8} - 11 x^{3} - 103 $$

Which of the following polynomial funciton formulas are written in standard form? Select all that apply.f(x)=x2−1f(x)=1+3x2+7x4f(x)=1+x+x2+x3f(x)=x5+5x3+6x+11f(x)=4x8−11x3−103

Answer

Popular Problems

Which of the following polynomial funciton formulas are written in standard form? Select all that apply.
$f (x) = x^{2} - 1$
$f (x) = 1 + 3 x^{2} + 7 x^{4}$
$f (x) = 1 + x + x^{2} + x^{3}$
$f (x) = x^{5} + 5 x^{3} + 6 x + 11$
$f (x) = 4 x^{8} - 11 x^{3} - 103$