Question

PLEASE HELP

p(x) = 3(x^2 + 10x + 5) -5(x - k)
In the polynomial p(x) defined above, k is a constant. If p(x) is divisible by x, what is the value of k?

Answer 1

@welshfella

Answer 2

Divide the whole equation by x. The remainder will then be obtained in terms of k. Set the remainder to 0 and find the value of k.
If still confused let me know

Answer 3

k one sec

Answer 4

is it 3x +25 + 15/x + k/x ?

Answer 5

For the term to be divisble by x, 15/x+k/x should be 0

Answer 6

why?

Answer 7

Do you agree the remainder has to be 0, for the term to be divisible by x?

Answer 8

yes

Answer 9

What is the remainder when the expression is divided by x?

Answer 10

0

Answer 11

Can you show me the division you did?

Answer 12

k

Answer 13

3x^2 + 25x + 15 -5x +k
(3x^2 +25x + 15 + k)/x

Answer 14

thats how i got 3x + 25 + 15/x + k/x

Answer 15

The (15+k)/x represents the remainder. In this expression, 15+k is the remainder

Answer 16

so its p(x) = 3x +25

Answer 17

The quotient is 3x+25, the remainder is 15+k,Clear?

Answer 18

yes, but i dont understand how u know which part is the remainder and which is the quotient

Answer 19

oh i get it

Answer 20

Anything which has a denominator which is same as the divisor (in our case: x ), is called a remainder

Answer 21

when you do long division u get a fraction (the remaindr) and the qutient