WRITTEN TASK 2 - RATIONAL ALGEBRAIC EXPRESSION (20 PTS.) A. FILLIN THE BLANKS TO MAKE EACH STATEMENT TRUE.

1. TO SIMPLIFY RATIONAL EXRESSIONS, WE DEVIDED OUT ANY IN THE NUMERATOR AND THE DENOMINATOR.
2. TO MULTIPLY RATIONAL EXPRESSIONS, WE FACTOR THE NUMERATOR AND DENOMINATOR SO THAT WE CANTHE COMMON FACTOR.
3.TO ADD TWO FRACTIONS WITH SIMILAR DENOMINATORS, ADD THIER AND KEEP THE.

PLSS PO RESPECT.

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).