Question

X square - 2x +6 divided by X - 1

Answer 1

Given, P(x) = x² - 2x +6

$\large{ \underline{ \bf division }} \\ \\ \sf \: x - 1 \overline{\big) \cancel{x {}^{2} }- 2x + 6} \overline{\big(}x - 1\\ \sf \: \cancel{x {}^{2} } - 1x \\ \sf \overline{ \: \:\: \: \: \ \: \cancel{ - 1x }+ 6 \: \: \: } \\ \sf \cancel{- 1x} + 1 \\ \overline{ \: \: \: \: \: \: \: \: \sf5 \: \: \: \: \: \: \: \:} \\ \overline{ㅤㅤㅤㅤ}$

• Remainder = 5

Answer 2

Answer:

Quotient = x - 5

Remainder = 5

Step-by-step explanation:

Given Polynomial:-

x² - 2x +6 ÷ x - 1.

Finding Remainder using Remainder Theorem:-

p(x) = x² - 2x + 6

g(x) = x - 1

Zero of g(x) :-

→ x - 1 = 0

→ x = 1

Putting x = 1

p(1) = (1)² 2(1) + 6

p(1) = 1 - 2 + 6

p(1) = -1 +6

p(1) = 5

Remainder = 5.

Polynomial : A variable bases language in maths. or A string of variables and numbers put together.

Degree of polynomial : Highest power of a polynomial is called degree of polynomial.

Coefficient : A number by which a variable is multiplied.

Constant : It's a numerical term holding no variable.