MyQuestionIcon

1

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

Factor Theorem

Find the valu...

Question

Find the value of k for which the polynomial x3-4x2+k has 3as it's zero

Open in App

Solution

Zero of the polynomial is x - 3
by long division
when we divide
x^3 - 3^2+ 3x + k with x- 3
the remainder we get is k+9
k+9 = 0
k=-9

Suggest Corrections

thumbs-up

14

Similar questions

Q. Mark (✓) against the correct answer in each of the following:
The value of k, for which the polynomial x³ − 4x² + 2x + k has 3 as its zero, is
(a) 3
(b) −3
(c) 6
(d) −6

α

\frac{1}{α}

are zeroes of polynomial

4 x^{2} - 2 x + k + 7

. Find the value of

k

k

for which the quadratic polynomial

k x^{2} + x + k

has equal zeros.

Q. If the zeros of the polynomial

f (x) = x^{3} - 12 x^{2} + 39 x + k

are in A.P., find the value of

k

x = 1

is a zero of the polynomial

f (x) = x^{3} - 2 x^{2} + 4 x + k

, find the value of

k

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