30 / 68 Marks Here are sketches of four triangles.
In each triangle
the longest side is exactly 1 cm
1 cm
the other length is given to 2 decimal places.
0.82 cm
1 cm
55°
55°
Work out the value
0.51 cm
4 cm
of x.
1
A
Give your answer
to 1 decimal place.
55
X=
Х
1 cm
1 cm
0.85 cm
55°
55°
0.57 cm
Trigonometry
View One Minute Version
Overview

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).