Multiply the following polynomials and check whether their product is also a polynomial. Also find the degree of the resultant polynomial.

S.no	Polynominal	Product	Degree of the resultant polynominal
1	\(p(x)=3{ x }^{ 3 }+2x-{ x }^{ 2 }+8\\ q(x)=7x+2\)
2	\(r(y)=5{ y }^{ 3 }-3{ y }^{ 2 }+4\\ s(y)=9{ y }^{ 2 }-2y+6\)
3	\(p(m)=8m-9\\ q(m)=9{ m }^{ 2 }-1+2m\)

If (x + a)(x + b)(x + c) = x³+14x²+ 59x + 70, find the value of
(i) a + b + c
(ii) \(\frac { 1 }{ a } +\frac { 1 }{ b } +\frac { 1 }{ c } \)
(iii) a²+ b²+ c²
(iv) \(\frac { a }{ bc } +\frac { b }{ ac } +\frac { c }{ ab } \)

Evaluate the following by using identities:
(i) 98³
(ii) 1001³

Factorise the following:
(i) am + bm + cm
(ii) a³- a²b
(iii) 5a -10b - 4bc + 2ac
(iv) x+y-1-xy

Find GCD of the following:
(i) 16x³y², 24xy³z
(ii) (y³+1) and (y²-1)
(iii) 2x²-18 and x³-2x-3
(iv) (a-b)², (b-c)³, (c-a)⁴

Factorise 2x²-15x+27

Factorise the following:
(i) x²+10x + 24
(ii) z²+ 4z -12
(iii) p²- 6p -16
(iv) t²+72 -17t
(v) y²-16 - 80
(vi) a²+10a - 600

Factorise each of the following polynomials using synthetic division:
(i) x³-3x²-10x +24
(ii) 2x³-3x²-3x+2
(iii) −7x+3+ 4x³
(iv) x³+x²-14x-24
(v) x³-7x+6
(vi) x³-10x²-x+10

(Graphing made easier!) Draw the graph of the line given by the equation y = 4x – 3.

Solve for x and y: 8x − 3y = 5xy, 6x − 5y = −2xy by the method of elimination.