Determine the values for b and c 2b (5x^(2) + 3x+c) =10x^(2) + 6x-14

Question

Determine the values for b and c

2b (5
`x^(2)` + 3x+c) =10
`x^(2)` + 6x-14

Answer 1

2b(5x² + 3x + c) = 10x² + 6x - 14

10bx² + 6bx + 2bc = 10x² + 6x - 14

by the equality of coefficient, we get

coefficient of x

6b = 6 so b = 1

constant

2bc = 2c = -14 so c = -7