Question

please tell the solution ​

Answer 1

(1) angle C = 125

angle D = 125

(2)

Here we will prove the factor theorem, according to which we can factorise the polynomial.

Consider a polynomial f(x) which is divided by (x-c), then f(c)=0.

Using remainder theorem,

f(x)= (x-c)q(x)+f(c)

Where f(x) is the target polynomial and q(x) is the quotient polynomial.

Since, f(c) = 0, hence,

f(x)= (x-c)q(x)+f(c)

f(x) = (x-c)q(x)+0

f(x) = (x-c)q(x)

Therefore, (x-c) is a factor of the polynomial f(x).

(3) a quadrilateral is a parallelogram, if the pair of the opposite sides is parallel and equal.

(4)

Now the power of the highest degree term is 7 so the degree of the polynomial is 7.