Fx-3x-612x3-5x-2 is a polynomial function-

The given function is nbsp;f(x)=(3x+6)(12x^3+5x+2) nbsp; ⇒ f(x)=(3x+6)(12x^ 3+5x+2) Here the power of x comes as negative. So this is not a polynomial funct ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

fx=3x+612x3+5...

Question

$f (x) = (3 x + 6) (\frac{12}{x^{3}} + 5 x + 2)$ is a polynomial function.

True

No worries! We‘ve got your back. Try BYJU‘S free classes today!

False

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is B False
The given function is $f (x) = (3 x + 6) (\frac{12}{x^{3}} + 5 x + 2)$
$\Rightarrow f (x) = (3 x + 6) (12 x^{- 3} + 5 x + 2)$
Here the power of $x$ comes as negative.
So this is not a polynomial function

Suggest Corrections

Similar questions

Use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x)

f(x) = $x^{3} - 6 x^{2}$ + 11x - 6, g(x) = $x^{2}$ -3x + 2

Which of the following is a polynomial ?

(a) $x^{2} - 5 x + 4 \sqrt{x} + 3$ (b) $x^{\frac{3}{2}} - x + x^{\frac{1}{2}} + 1$

Q. Write the remainder when the polynomial f(x) = x³ + x² − 3x + 2 is divided by x + 1.

Q. If f(x) =

2 x^{2} - 5 x + 1

and g(x) =

- x^{3} - x^{2} - 3 x + 2

, find g(x) - f(x).

Q. The function

f (x) = 2 - 3 x + 3 x^{2} - x^{3}, x ε R

Join BYJU'S Learning Program

f(x)=(3x+6)(12x3+5x+2) is a polynomial function.

The correct option is B FalseThe given function is f(x)=(3x+6)(12x3+5x+2) ⇒f(x)=(3x+6)(12x−3+5x+2) Here the power of x comes as negative. So this is not a polynomial function

$f (x) = (3 x + 6) (\frac{12}{x^{3}} + 5 x + 2)$ is a polynomial function.

The correct option is B False
The given function is $f (x) = (3 x + 6) (\frac{12}{x^{3}} + 5 x + 2)$
$\Rightarrow f (x) = (3 x + 6) (12 x^{- 3} + 5 x + 2)$
Here the power of $x$ comes as negative.
So this is not a polynomial function