Question

divide 9x^4-3x^3+2x by x^2-1.Find quotient and remainder

Answer 1

Step-by-step explanation:

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Answer 2

$\huge{\orange{\underline{\underline{\bold{AnsweR:-}}}}}$

$\mathbb\green{GIVEN}$

• Divide $\textsf{9x⁴-3x³+2x by x²-1}$

$\mathbb\red{METHOD}$

$\red{\bigstar}$ Remainder theorem $\red{\bigstar}$: According to the remainder theorem when f(x) is divided by p(x) then the value of p(x) is x²-1=0, x=1

$\mathbb\blue{SOLUTION}$

: $\rightarrow$ p(x)= 9x⁴-3x³+2x

: $\rightarrow$ f(x)= x²-1

$\boxed{\sf\: The\: value\: of\: x\: is\: 1 }$

: $\rightarrow$ p(1)= 9(1)⁴-3(1)³+2(1)

: $\rightarrow$ p(1)= 9-3+2

: $\rightarrow$ p(1)= 8

$\therefore$ Remainder is 8 and quotient is 9x²-3x-9