MyQuestionIcon

1

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

Factor Theorem

Find the valu...

Question

Find the value of k if y+4 is a factor of 3y²+ky+6

Open in App

Solution

If y+4 is the factor
y = -4
then, 3 x (-4)² + k (-4) + 6 = 0
3 x 16 + (-4k) + 6 = 0
48 - 3k + 6 = 0
54 = 4k
4k = 54
k = 13.5.

Suggest Corrections

thumbs-up

9

Similar questions

2 x + k y + z

9 y^{2} - z^{2} - 2 x z + 6 x y

, then the value of k is equal to

y = \frac{2}{3}

is a root of the quadratic equation

3 y^{2} - k y + 8 = 0

, then the value of

k

is ..................

Q. If one root of the quadratic equation 3y² – ky + 8 = 0 is

\frac{2}{3}

then find the value of k.

Q. If one root of the quadratic equation

3 y^{2} - k y + 8 = 0

\frac{2}{3}

, then find the value of

k

.

Q. Find the value of

k

for the quadratic equation

3 y^{2} + k y + 12 = 0

has two equal roots.

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