MyQuestionIcon

1

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

Addition and Subtraction of Algebraic Expression

What must be ...

Question

What must be added to $x^{3} + 3 x - 8$ to get $3 x^{3} + x^{2} + 6$ ?

A

2 x^{3} + x^{2} - 3 x + 14

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

B

2 x^{2} + x^{2} + 14

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

C

2 x^{3} + x^{2} - 6 x - 14

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

D

None of these

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

Open in App

Solution

The correct option is D $2 x^{3} + x^{2} - 3 x + 14$
Let the polynomial to be added be $p$ .
$∴ x^{3} + 3 x - 8 + p = 3 x^{3} + x^{2} + 6$
$∴ p = 3 x^{3} + x^{2} + 6 - x^{3} - 3 x + 8$
$∴ p = 2 x^{3} + x^{2} - 3 x + 14$

Hence, Option A is correct.

Suggest Corrections

thumbs-up

1

Similar questions

What must be added to $(x^{3} + 3 x - 8)$ to get $(3 x^{3} + x^{2} + 6)$ ?

Q. What must be added to

x^{2} + 5 x - 6

x^{3} - x^{2} + 3 x - 2

?

What must be added to (x^{3} + 3 x - 8) to obtain (3 x^{3} + x^{2} + 6) ?

What must be added to $1 - x + x^{2} - 2 x^{3}$ to get $x^{3}$ ?

What must be added to $x^{2} + 3 x - 8$ to get $x^{2} + x + 6$ ?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Addition and Subtraction of Algebraic Expression

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Addition and Subtraction of Algebraic Expression

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon