Question

Medal rewarded!! Just one quick question please help

Given the trinomial, what is the value of the coefficient 'B' in the factored form?

2x2 + 14xy - 36y2 = 2(x + By)(x - 2y)

B= ____________

Answer 1

2*-36=-72
18-4=14
18*-4=-72
write 14 as (18-4)
and make factors of left hand side.

Answer 2

im so confused @surjithayer

Answer 3

\[2 x^2+14 xy-36 y^2=2\left( x^2+7 x y-18 y^2 \right)=2\left\{ x^2+\left( 9-2 \right)xy-18y^2 \right\}\]
\[=2\left\{ x^2+9xy-2xy-18 y^2 \right\}=2\left\{ x \left( x+9 y \right)-2 y \left( x+9 y \right) \right\}\]
\[=2\left( x+9 y \right)\left( x-2 y \right)\]
B=?

Answer 4

9?

Answer 5

@surjithayer

Answer 6

correct.