Classify the following polynomials based on number of terms.

The length of a rectangle is (3x+2) units and it’s breadth is (3x–2) units. Find its area in terms of x. What will be the area if x = 20 units.

Without actual division , prove that f(x) = 2x⁴- 6x³ + 3x² + 3x - 2  is exactly divisible by x² – 3x + 2

The area of a rectangle is x² + 7x + 12. If its breadth is (x + 3), then find its length.

Find p(0), p(1), and (p(-1) for each of the following polynomials.

S.no	Polynominal	p(0)	p(1)	p(-1)
1	\(p(x)={ x }^{ 2 }+2x-1\)
2	\(p(x)={ x }^{ 3 }-1\)
3	\(p(x)=x+1\)

The polynomial ax³ - 3x² + 4 and 2x³ - 5x +a when divide by (x - 2) leave the remainders p and q respectively if p - 2q = 4 ; find the value of a.

Add the following polynomials and find the degree of the resultant polynomial.

Sl.No	Polynomial	Addition	Degree of the resultant polynomial
1	p(x) = 5x3 - 3x + x2 + 4    q(x) = 7x - 4x2 + 2
2	p(m) = 6m - 7 q(m) = 7m2 - 12 + 4m
3	p(x) = 4x2 - 6x3 - 4x + 6    q(x) = 8x3 + 2x2 - 2
4	r(y) = 7y4 + 5y2 + 4y s(y) = 2y - 3y2
5	p(m) = 12m3 - 10m2 - 7 q(m) = 7m3 + 5m2 - 3

Expand the following:
(i) (x+5)(x+6)(x+4)
(ii) (3x-1)(3x+2)(3x-4)

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

Solve graphically
x = –3; y = 3