Write the various coefficients in the following polynomials:
7

4

(a)

How many terms are there in the following polynomials?
3x² - 5x + 7

4

(a)

If \(x=-2\) is the root of the equation \(\sqrt { 2 } (x+p)=0\) and is also the zero the zero of the polynomial  \({ px }^{ 2 }+kx+2\sqrt { 2 } \) then find the value of k.

4

(a)

The polynomial \(p(x)=kx^3+9x^2+4x-8\) when divided by (x+3) leaves a remainder 10 (1-k). Find the value of k.

4

(a)

The polynomial \(p(x)=2{ x }^{ 3 }-3{ x }^{ 2 }+ax-3a+9\)when divided by x+1, leaves the remainder 16. Find the value of a. Also, find the remainder when p(x) is divided by x+2.

4

(a)

Evaluate 105 x 93 without multiplying directly.

4

(a)

Without calculating the cubes find the value of \((-11)^3+(8)^3+(3)^3\)

4

(a)

Show that if a+b is not zero, then the equation a(x-a)=2ab-b(x-b) has a solution x=a+b.

4

(a)

Show that if \(2(a^2+b^2)=(a+b)^2\)then a=b

4

(a)

Simplify: \((p+q+r)^2+(p-q-r)^2\)

4

(a)