Question

Find the values of a and b so that (2x + ax + x +b) has (x+2) and
(2x - 1) as factors.
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Answer 1

Answer:

a = 3 ; b = -2

Step-by-step explanation:

$(x + 2)(2x - 1) \\ x(2x - 1) + 2(2x - 1) \\ 2 {x}^{2} - x + 4 x - 2 \\ 2 {x}^{2} + 3x - 2$

from the equation --------> 2x² + ax + b

equating the values -------> 2x² + 3x + (-2)

• a = 3
• b = -2