MyQuestionIcon

1

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

Factor Theorem

Which of the ...

Question

Which of the following is one of the factors of $p (x) = 2 x^{4} - 9 x^{3} + 5 x^{2} + 3 x - 1$ if two of its zeros are $2 + \sqrt{3}$ , and $2 - \sqrt{3}$ ?

A

x^{2} - 4 x - 1

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

B

x^{2} - 4 x + 1

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

C

x^{2} + 4 x - 1

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

D

x^{2} + 4 x + 1

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

Open in App

Solution

The correct option is B $x^{2} - 4 x + 1$

Suggest Corrections

thumbs-up

1

Similar questions

Q. Find all the zeros of

2 x^{4} - 9 x^{3} + 5 x^{2} + 3 x - 1

, if two of its zeros are

2 + \sqrt{3}

2 - \sqrt{3}

Q. Find all zeros of the polynomial 2x⁴ – 9x³ + 5x² +3x – 1, if two of its zeros are

2 + \sqrt{3} and 2 - \sqrt{3}

Q. Find all zeroes of the polynomial

2 x^{4} - 9 x^{3} + 5 x^{2} + 3 x - 1

if two of its zeroes are

2 + \sqrt{3}

2 - \sqrt{3}

Q. Find sum of other zeros of the polynomial

(2 x^{4} - 9 x^{3} + 5 x^{2} + 3 x - 1)

if two of its zeros are

(2 + \sqrt{3})

(2 - \sqrt{3})

.

Q. p(x)=2x⁴ − 3x³ − 5x² + 9x − 3 and two of its zeros are

\sqrt{3}

- \sqrt{3}

. Find the other two zeros.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Remainder Theorem

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon