If the polynomial $(x^{4} + 2 x^{3} + 8 x^{2} + 12 x + 18)$ is divided by another polynomial $(x^{2} + 5)$ the remainder comes out to be $(p x + q)$ . Find values of $p$ and $q$ .

p = 2 q = 3

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

p = 2 q = 2

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

p = 3 q = 2

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

p = 3 q = 3

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

Open in App

Solution

The correct option is A $p = 2 q = 3$
Let $f (x) = (x^{4} + 2 x^{3} + 8 x^{2} + 12 x + 18)$ and $g (x) = (x^{2} + 5)$
On dividing $f (x)$ by $g (x)$ , we get
Now, $p x + 9 = 2 x + 3 \Rightarrow p = 2, q = 3$ ( By comparing the coefficient of $x$ and constant term)

Suggest Corrections

Similar questions

Q. If the polynomial

(x^{4} + 2 x^{3} + 8 x^{2} + 12 x + 18)

is divided by another polynomial

(x^{2} + 5)

, the remainder comes out to be

(p x + q)

, find the values of p and q.

Q. If the polynomial

(x^{4} + {2 x}^{3} + {8 x}^{2} + 12 x + 18)

is divided by

(x^{2} + 5),

the remainder comes out to be

(p x + q)

,find the value of

p

and

q

Q. when the polynomial x^4 + 2x^3 + 8x^2 + 12x + 18 is divided by another polynomial x^2 + 5 , if the remainder comes out to be px - q , find the values of p and q.

Q. if the polynomial x4-6x3+ 16x2-25x+10 is divided by another polynomial x2-2x+k the remainder comes out to be x+a,find value of K and a

If the polynomial $(x^{4} + 2 x^{3} + 8 x^{2} + 12 x + 18)$ is divided by another polynomial $(x^{2} + 5)$ , the remainder comes out to be $(px + q)$ . Find the value of $p and q$

Join BYJU'S Learning Program

If the polynomial (x4+2x3+8x2+12x+18) is divided by another polynomial (x2+5) the remainder comes out to be (px+q). Find values of p and q.

The correct option is A p=2 q=3Let f(x)=(x4+2x3+8x2+12x+18) and g(x)=(x2+5) On dividing f(x) by g(x), we get Now, px+9=2x+3⇒p=2,q=3 ( By comparing the coefficient of x and constant term)

If the polynomial $(x^{4} + 2 x^{3} + 8 x^{2} + 12 x + 18)$ is divided by another polynomial $(x^{2} + 5)$ the remainder comes out to be $(p x + q)$ . Find values of $p$ and $q$ .

The correct option is A $p = 2 q = 3$
Let $f (x) = (x^{4} + 2 x^{3} + 8 x^{2} + 12 x + 18)$ and $g (x) = (x^{2} + 5)$
On dividing $f (x)$ by $g (x)$ , we get
Now, $p x + 9 = 2 x + 3 \Rightarrow p = 2, q = 3$ ( By comparing the coefficient of $x$ and constant term)