1)
P = Your polynome
P / ( x -3 ) = x ^ 2 + 2 x - 5 - 3 / ( x - 3 ) Multiply both sides by ( x - 3)
P = ( x ^ 2 + 2 x - 5 ) * ( x - 3 ) - 3 * ( x - 3 ) / ( x - 3 )
P = x * x ^ 2 + x * 2 x - 5 * x - 3 * x ^ 2 - 3 * 2 x - ( - 3 ) * 5 - 3 * 1
P = x ^ 3 + 2 x ^ 2 - 5 x - 3 x ^ 2 - 6 x + 15 - 3
P = x ^ 3 - x ^ 2 - 11 x + 12
2 )
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1)when a certain polynomial is divided by x - 3, the quotient is x^2+2x-5 and the remainder is -3. what is the polynomial
2) Find each quotient and remainder. Assume the divisor is not equal to zero.
a)(2x^2+29x-x^3-40)/(-3+x)
b)(6+7x-11x^2-2x^3)/(x+9)
c)(x^3-2x^2+4x+150/(x^2+2x-3)
d)(3x^3+2x^2-11x-12)/(x+1)
e)(x^2+x^2y-9xy^2-9y^3)/(x+y)
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