if the quotient obtained in dividing x^2 - 7x + b by x + a is x - 2, and the remainder is 5, then what are the values of a and b? anybody can help on this? thanks
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We have $\displaystyle (x - 2)(x + a)+5 = x^2 - 7x + b$. Expanding the LHS and comparing the coefficients on both sides we have $\displaystyle a=-5, b= 15$
We are told: $\displaystyle x^2-7x+b=(x-2)(x+a)+5=x^2+(a-2)x+(5-2a)$ Now, equate coefficients to get two equations, from which you may determine a and b.
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