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39912583
Steps for factoring quadratic expressions
Descrição
1.5 mind map assement
Sem etiquetas
1.5 assement
mathematics
grade 12
Mapa Mental por
Danielle Gunter
, atualizado 5 meses atrás
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Criado por
Danielle Gunter
5 meses atrás
2
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Resumo de Recurso
Steps for factoring quadratic expressions
Find the greatest common factor
Find a number that multiplies into all terms, the greatest or largest number is what we are looking for
Divide each term in the equation by the gcf you just found in the last steps
put the divided terms in the brackets showing you have divided the terms out
what you are left with is the greatest common factor
difference of squares factoring
check if the terms have a greatest common factor and factor it out
rewrite the binomial so that each term is written as a squared term, expand the equation
subtract between the terms you have just expanded, now simplify
before simplifying check to be sure you cant factor anymore
identify that the binomial is in fact a difference of squares
perfect squares factoring
identify that its a perfect squares trinomial, confirm the first and last numbers are perfect squares
make sure your middle term is twice the product of your square roots of your first an last terms
write the equation to find your gcf
expand your equation
simplify, rewrite your equation by subtraction and putting like terms together
factoring simple trinomials
us the sum product rule, find what the first and last numbers multiply to but add up to give middle number or b
use these numbers you have found to write out your factors
now expand your factors
simplify
Factoring complex trinomials
Multiply the x squared and plain coefficent together
list the numbers of the steps above
find which factors in the list add to give the x middle coefficent
rewrite the quadratic into 4 like terms
split the quadratic into 2 and factorise to give 2 identical brackets
rewrite into 2 brackets
make sure no common factor exists
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