MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Property 1

If fx= 1 + ...

Question

If $f (x) = (1 + x)^{15} = C_{0} + C_{1} x + C_{2} x^{2} + \dots + C_{15} x^{15},$ then $f (2) =$

A

1^{15}

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

B

3^{15}

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

C

2^{15}

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 B $3^{15}$
$f (x) = (1 + x)^{15} f (2) = (1 + 2)^{15} = 3^{15}$

Suggest Corrections

thumbs-up

0

Similar questions

(1 + x)^{15} = C_{0} + C_{1} x + C_{2} x^{2} + . . . . . . + C_{15} x^{15},

C_{2} + 2 C_{3} + 3 C_{4} + . . . . . . + 14 C_{15} =

(1 + x)^{15} = C_{0} + C_{1} x + C_{2} x^{2} + . . . . . . + C_{15} x^{15},

C_{2} + 2 C_{3} + 3 C_{4} + . . . . . . + 14 C_{15} =

If $(1 + x)^{15}$ = $C_{0} + C_{1} x + C_{2} x^{2} + . . . . . . . . . + C_{15} x^{15}$ , then

$C_{2} + 2 C_{3} + 3 C_{4} + . . . . . . . . + 14 C_{15}$ =

(1 + x)^{15} = C_{0} + C_{1} x + C_{2} x^{2} + \dots \dots + C_{15} x^{15},

find the value of

C_{2} + 2 C_{3} + 3 C_{4} + \dots \dots + 14 C_{15}

(1 + x)^{n} = C_{0} + C_{1} x + C_{2} x^{2} + \dots + C_{n} x^{n},

n \sum r = 0 n \sum s = 0 (r + s) C_{r} C_{s}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Property 1

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon