CameraIcon

SearchIcon

MyQuestionIcon

1

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

Polynomials

x4+10 x3+35 x...

Question

x⁴ + 10x³ + 35x² + 50x + 24

Open in App

Solution

Let $f (x) = x^{4} + 10 x^{3} + 35 x^{2} + 50 x + 24$ be the given polynomial.

Now, putting we get

Therefore, is a factor of polynomial f(x).

Now,

Where

Putting we get

Therefore, is the factor of g(x).

Now,

From equation (i) and (ii), we get

Hence are the factors of polynomial f(x).

Suggest Corrections

thumbs-up

33

Similar questions

\sqrt{x^{4} + 10 x^{3} + 35 x^{2} + 50 x + 25}

(Use division method).

If the quotient on dividing x^{4} + 10 x^{3} + 35 x^{2} + 50 x + 29 by (x + 4) is x^{3} - a x^{2} + b x + 6, then find the value of a, b and also remainder.

f (x) = x^{4} - 10 x^{3} + 35 x^{2} - 50 x + c

is a constant. the number of real roots of . f (x) = 0 and
f'' (x) = 0 are respectively

Q. If the quotient obtained on dividing

(x^{4} + 10 x^{3} + 35 x^{2} + 50 x + 29)

(x + 4)

(x^{3} - a x^{2} + b x + 6)

a, b

and also the remainder

x^{4} + 9 x^{3} + 35 x^{2} - x + 4

x^{2} + 10 x + 29

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Polynomials in One Variable

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon