Question

2x^2+x+a is divided x-3 the remainder is 1 find the factors of 2x^2+x+a-1

Answer 1

Answer:

p(x) =

$2 {x}^{2} + x + a$

g(x) =

$x - 3$

r(x) =

$1$

Now divide p(x) by g(x)

we get r(x) = a+21

r(x) = 1 it is given. So,

=1=a+21

=a=-20

NOW,

$p(x) = 0 \\ p(x) = 2 {x}^{2} + x + a - 1 \\ = 2 {x}^{2} + x - 20 - 1 \\ = 2 {x}^{2} + x - 21 \\ = 2 {x}^{2} + 7x - 6x - 21 \\ = x(2x + 7) - 3(2x + 7) \\ = (x - 3)(2x + 7) \\ = x = 3 \: or \: - 7by \: 2$

Answer 2

Answer:

this

Step-by-step explanation:

this