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India
Class VIII

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 $\editable{}$.

Easy
< 1min

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

Easy
< 1min

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

Easy
1min

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

Easy
1min
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Outcomes

8.A.AE.3

Identities (a ± b)^2 = a^2 ± 2ab + b^2, a^2 – b^2 = (a – b) (a + b) Factorisation (simple cases only) as examples the following types a(x + y), (x ± y)^2, a^2 – b^2, (x + a).(x + b)

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