Math, asked by gabrielarruda0101, 7 months ago

divisão de poliônimos

a)( x2 - 7x + 10) / ( x-5 )

Answers

Answered by michaelgimmy
1

Divide the Polynomials :

1. (x^2 - 7x + 10) / (x - 5)

Answer:

When we Divide the Polynomial (x^2 - 7x + 10) by (x - 5), we get the Quotient as - (x - 2)

Step-by-step Explanation:

 \frac{ {x}^{2}  - 7x + 10}{x - 5}  \\ using \: the \: splitting \: the \: term \: method \\  =  >  \frac{( {x}^{2}  - 5x)( - 2x + 10)}{x - 5} \\  =  >  \frac{(x \times x)( - 1 \times 5 \times x)( - 1 \times 2 \times x)(2 \times 5) }{x - 5}  \\  =  > taking \: out \: the \: common \: factors \\  =  > \:  \frac{x(x - 5) - 2(x - 5)}{ x - 5}  =  >  \frac{(x - 2)(x - 5)}{x - 5}  \\ strike \: out \: x - 5 \: as \: they \: are \: common \: both \: in \: the \: numeratorand \: the \: denominator \\ you \: get \: the \: answer \: as \:  \\  =  > (x - 2)

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