Answer:
(x − 5) (2x + 3)
Step-by-step explanation:
2x² − 7x − 15
Factor using AC method.
2 × -15 = -30
Factors of -30 that add up to -7 are -10 and 3.
Divide by 2 and reduce: -10/2 = -5/1, 3/2
The factors are x − 5 and 2x + 3.
(x − 5) (2x + 3)
9514 1404 393
Answer:
1/(3x) =(x -2)/(4x^2 +9)
Step-by-step explanation:
The denominator cannot be factored further, so the final form will be ...
A/(3x) + (Bx +C)/(4x^2 +9)
The value of this is ...
(A(4x^2 +9) +(3x)(Bx +C))/(3x(4x^2 +9))
= ((3B+4A)x^2 +3Cx +9A)/(3x(4x^2 +9))
Equating coefficients gives ...
3B+4A = 7
3C = -6 ⇒ C = -2
9A = 9 ⇒ A = 1
Using the found value of A, we find ...
3B +4 = 7 ⇒ B = 1
Then the decomposition is ...
Answer:
y=2/x+3
Step-by-step explanation: