CameraIcon

SearchIcon

MyQuestionIcon

38

You visited us 38 times! Enjoying our articles? Unlock Full Access!

Polynomials

x4-2 x3-7 x2+...

Question

x⁴ − 2x³ − 7x² + 8x + 12

Open in App

Solution

Let be the given polynomial.

Now, putting we get

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

Now,
$f (x) = x^{4} - 3 x^{3} + x^{3} - 3 x^{2} - 4 x^{2} + 12 x - 4 x + 12$

Where

Putting we get

Therefore, is the factor of g(x).

Now,
$g (x) = x^{3} - 2 x^{2} - x^{2} - 6 x + 2 x + 12$

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

Hence are the factors of polynomial f(x).

Suggest Corrections

thumbs-up

10

Similar questions

Q. Find factors of

x^{4} + 2 x^{3} - 7 x^{2} - 8 x + 12

Q. Solve the following equations:

x^{4} + 2 x^{3} - 7 x^{2} - 8 x + 12 = 0

Q. Find the zeroes of the polynomials.

x^{4} - 2 x^{3} - 7 x^{2} + 8 x + 12

Using factor theorem,factorize the polynomial:

1) x⁴-2x³-7x²+8x+12

Q. Verify that the numbers given along side of the polynomial are their zeros.

x^{4} + 2 x^{3} - 7 x^{2} - 8 x + 12; - 3, - 2, 1, 2

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