Question 1

Factorise $2a^2+5a+3$ completely.

Accepted Answer

$(a+1)(2a+3)$

Question 2

Factorise $-2x^2-x+1$ completely.

Accepted Answer

$(-2x+1)(x+1)$

Question 3

The area of a rectangle is 1 $cm^2$. It is given that the length of the rectangle is 1 cm more than its breadth.
Given that the length is $x$ cm, form an equation in $x$. Leave your answer in the form of $ax^2+bx+c=0$.

Accepted Answer

$x^2-x-1=0$

Question 4

An ant moved at a speed of $(t+2)$ cm/s for $t$ seconds and moved a total distance of 10 cm.
Form an equation in $t$. Leave your answer in the form of $at^2+bt+c=0$.

Accepted Answer

$t^2+2t-10=0$

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