A village of India is suffering from flood. A group of students decide to help them with food items , cloths etc. so the student collect money which is represented by 5x⁴+x³–3x²+ax–b. If the number of student is secretly presented by x² + 2. Find the value of a and b.WHO CAN GIVE CORRECT ANS I WILL MAKE HIS ANS BRAINIEST. Created by rimpakuila999.

A village of India is suffering from flood. A group of students decide to help them with food items , cloths etc. so

Step-by-step explanation:

*Given* :

• A village of India is suffering from flood . A group of students decide to help them with food items , cloths etc. • The students collect money which is represented by 5x4 + x³ - 3x² + ax - b . • The number of student is secretly presented by x² + 2 .

★ To find ★ :

• The values of a and b

★ Solution ★ :

Given that

Total number of students = x² + 1

The total money collected by them = 5x4 + x³ - 3x² + ax - b

To find the values of a and b we have to divide the given polynomial by x² + 1

x² + 1 ) 5x¹ + x³ − 3x² + ax - b ( 5x² + x - 8

5x^4+। 5x²

(-)

________________________________

x³-8x²+ax

(-) x³ +x

__________________________________

-8x²+(a-1)x-b

(-) -8x²। -8

___________________________________

(a-1)x-b+8

According to the given problem We have the remainder is zero

Therefore, (a-1) = 0

and -b+8 = 0 => a = 1

and b 8

*Answer *:- • The value of a = 1

The value of b = 8

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