New Zealand
Level 6 - NCEA Level 1

# Monic quadratic trinomials

## Interactive practice questions

Consider the quadratic $x^2+11x+24$x2+11x+24, and fill in the blanks:

To factorise this quadratic, we need to find two numbers whose product is $\editable{}$ and whose sum is $\editable{}$.

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Find the values of $a$a and $b$b given $aa<b and$a+b=15$a+b=15 and$a\times b=56$a×b=56 Find the values of$a$a and$b$b given$aa<b and

$a+b=-15$a+b=15 and $a\times b=50$a×b=50

Find the values of $a$a and $b$b given that $bb<a,$a+b=-11$a+b=11 and$ab=18\$ab=18.

### Outcomes

#### NA6-5

Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns

#### 91027

Apply algebraic procedures in solving problems