*If (x³-9) is divided by (x-2) then out of the following which one is a coefficient form of the quotient?*
1️⃣ (1,0,0,-4)
2️⃣ (1,-2)
3️⃣ (1,-2,-4)
4️⃣ (1,2,4)
Answers
Answer:
4.1,2,4 hope it will help you
Coefficient form of the quotient is ( 1 , 2, 4 ) If (x³-9) is divided by (x-2) and quotient is x² + 2x + 4.
Dividend = Divisor x Quotient + remainder
Division algorithm :
Stop the division if remainder is zero or degree of remainder is less than quotient
f(x) = g(x)q(x) + r(x)
r(x)= 0 or degree of r(x) less than degree of g(x)
Step 1:
Use the long Division
x² + 2x + 4
(x - 2) ) x³ - 9 (
x³ - 2x² -9
_____________
2x² -9
2x² - 4x
___________
4x - 9
4x - 8
________
-1
quotient is x² + 2x + 4
coefficient form is (aₙ , aₙ₋₁ , ____ a₁ , a₀) for
aₙxⁿ + aₙ₋₁xⁿ⁻¹ +_____ + ax + a₀
Hence coefficient form of x² + 2x + 4 is ( 1 , 2, 4 )
Correct option is 4️⃣ (1,2,4)
Learn More:
If p(x) is a polynomial of degree 3 with leading coefficient 1006. Also ...
brainly.in/question/18316857
let p(x) be a fourth degree polynomial with coefficient of leading term
brainly.in/question/18625366