Question

30. Divide X2-7x-12 by X-5 and verify with division algorithm.​

Answer 1

Step-by-step explanation:

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Answer 2

$\red{( x^{2} - 7x - 12) \div \: (x-5)}$

x-5) x²-7x-12 ( x -2

***** x²-5x

_____________

******** -2x - 12

******** -2x + 10

_____________

**************(-22)

$Dividend \:f(x) = x^{2} - 7x - 12$

$Divisor \: g(x) = x - 5$

$Quotient \:q(x) = x - 2$

$Remainder \:r(x) = -22$

$\underline { \blue { Division \: Algorithm :}}$

$\boxed{ \pink { f(x) = g(x) \times q(x) + r(x) }}$

Verification:

$g(x) \times q(x) + r(x)\\= (x-5)(x-2) + (-22) \\= x(x-2)-5(x-2)-22\\= x^{2} - 2x - 5x + 10 - 22 \\= x^{2} - 7x - 12 \\= f(x)$

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