Question

B ASSIGNMENT
1. A box with no top is to be made from an 8 inch by 6 inch piece of metal by cutting identical squares from each
corner and turning up the sides. The volume of the box is modeled by the polynomial 4x3 – 28x2 + 48x. Factor
the polynomial completely. Then use the dimensions given on the box and show that its volume is equivalent
to the factorisation that you obtain.
x² + 2x-15
x² - 9
2. Simplify: (i)
(ii)
2x2 +13x +15 x3 + 7x2 +12x
3. Using factors, evaluate each of the following:
(i) (2056)2 – (56)
(ii) (801)2 – 1602 + 1
4. The length and breadth of a rectangle are (2x + 3) and (x + 4) respectively. Express the area and perimeter of
the rectangle.
5. Is it possible to factorise: 8(x - y)2 - 50(2x + y)2.
MENTAL MATHS​

Answer 1

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