Determine the area of Mr. Sanchez's lawn.
Mr. Sanchez is purchasing fertilizer for his lawn. A
scale diagram of Mr. Sanchez's lawn is shown. Mr. Sanchez tested his soil to determine that he should use 0.05 pounds of fertilizer per square foot. At the garden store, Mr. Sanchez can purchase the exact amount of fertilizer that he needs at $1.50 per
pound
re
ft.
10 ft.
8 ft.
12 ft.

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).