MyQuestionIcon

1

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

Introduction

fx=4 x3+5 x2+...

Question

$f (x) = 4 x^{3} + 5 x^{2} + 9$ and $g (x, y) = 4 x^{3} y + 5 y x^{2} + 15$ . Let the degree of $f (x) and g (x, y)$ be $α$ and $β$ . Then the value of $α + β$ is

A

3

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

B

4

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

C

6

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

D

7

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

Open in App

Solution

The correct option is D $7$
Degree of a polynomial = Highest power of variable.
$∴$ Degree of $f (x) = 4 x^{3} + 5 x^{2} + 9$ will be the highest power of x.
$\Rightarrow α = 3.$
Simillarly,
Degree of $g (x, y) = 4 x^{3} y + 5 y x^{2} + 15$ will be the highest power of $x$ and $y$
$∴ β = 4$
$\Rightarrow α + β = 7.$

Suggest Corrections

thumbs-up

0

Similar questions

f (x) = x^{2} + b_{1} x + c_{1}, g (x) = x^{2} + b_{2} x + c_{2}

. Let the real roots of

f (x) = 0

α, β

and real roots of

g (x) = 0

α + h, β + h

. The least value of

f (x)

- \frac{1}{4}

. The least value of

g (x)

x = - \frac{7}{2}

The least value of

g (x)

y = f (x)

y = g (x)

are symmetrical about the line

x = \frac{α + β}{2},

β \int α f (x) g^{'} (x) d x

g (x) = cos x^{2}, f (x) = \sqrt{x}

α, β (α < β)

be the roots of the quadratic equation

18 x^{2} - 9 π x + π^{2} = 0

. Then the area (in

s q . u n i t s

) bounded by the curve

y = (g o f) (x)

x = α, x = β

y = 0

f (x) = x cos x; x \in [\frac{3 π}{2}, 2 π]

g (x)

be its inverse. If

\int_{0}^{2 π} g (x) d x = α x^{2} + β π + γ

α, β

γ \in R

then find the value of

2 (α + β + γ)

α

β

are the zeros of the polynomial

f (x) = 5 x^{2} + 4 x - 9

then evaluate the following:

α - β

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction

PHYSICS

Watch in App

explore_more_icon

Explore more

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon