The expression 4x^2-p(x)+7 leaves a remainder of -2 when divided by (x-3) find the value of p

a) 11
b)-2
c)15
d)40

(c)  For p = 15,   leaves a remainder of -2 when divided by (x-3).

Step-by-step explanation:

Here,  The dividend expression is   = E(x)

The Divisor = (x-3)

Remainder  = -2

Now, by REMAINDER THEOREM:

Dividend  = (Divisor x Quotient)  + Remainder

If ( x -3 ) divides the given polynomial with a remainder -2.

⇒  x = 3  is a  solution of given polynomial E(x)  - (-2) =  

=  S(x)

Now, S(3) = 0

⇒

or, p =1 5

Hence, for p = 15,   leaves a remainder of -2 when divided by (x-3).

50x5=$250

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb