Calculator Skills Activity

Factorizing Trinomials and Solving Quadratic Equations

$ax^2+bx+c$

NOTE

Answer all questions and after you have entered all the answers, click the submit button at the end of this activity. Note you have to enter your name and surname and have inputs for all questions, otherwise your answers will not be submitted.

Question 1

Factorize $x^2+9x+14$

Question 2

Factorize $x^2+9x+18$

Question 3

Factorize $x^2+7x+10$

Question 4

Factorize $x^2+14x+35$

Question 5

Factorize $8x^2+10x+3$

Question 6

Factorize $6x^2+11x+3$

Question 7

Factorize $2x^2+7x+5$

The next step is to solve quadratic equations, that is solve for $x$

We can use table mode on your calculators to solve solve for x

Solve for $x$ given $x^2-5x+6=0$

Note the solutions to solve for $x$ are

 $x=2$  and  $x=3$

If the question was to factorize, our solution would look like this:

 $(x-2)(x-3)=x^2-5x+6$

Thus where $x=2 ; x-2=0$ and where $x=3 ; x-3=0$

in both cases $(x-2)(x-3)=x^2-5x+6=0$

multiplication by 0 = 0 !!!

Question 8

Solve for $x$ given $6x^2+7x+5=0$

Question 9

Solve for $x$ given $9x^2+6x+1=0$

Question 10

Solve for $x$ given $2x^2+5x+3=0$