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Help Plz
Class X polynomials
Q. Find the values of a and b so that
is exactly Divisible by x^2 +1
BRAINLIEST for sure
Answers
Answered by
0
x = + 1
1^4+1³+8(1)²+a(1)+b =0
1+1+8+a+b =0
10 + a+b =0
a + b = -10
..........
Answered by
4
Answer:
a = 1, b = 7
Step-by-step explanation:
Given: f(x) = x⁴ + x³ + 8x² + ax + b
Given: g(x) = x² + 1
Divide f(x) by g(x):
Long Division Method:
x² + 1) x⁴ + x³ + 8x² + ax + b(x² + x + 7
x⁴ + x²
---------------------------------
x³ + 7x² + ax + b
x³ + x
--------------------------------------
7x² + x(a-1) + b
7x² + 7
------------------------------------
x(a - 1) + (b - 7)
∴ Remainder = 0
⇒ x(a - 1) + (b - 7) = 0
⇒ (a - 1) = 0, (b - 7) = 0
⇒ a = 1, b = 7
Hope it helps!
siddhartharao77:
:-)
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