How do you factor using the grouping method

2 answers:

6 0

To factor a trinomial in the form ax2 + bx + c, find two integers, r and s, whose sum is b and whose product is ac. Rewrite the trinomial as ax2 + rx + sx + c and then use grouping and the Distributive Property to factor the polynomial.

Olegator [25]2 years ago

3 0

Essentially you need to find some common factor between two terms and then group them. It is slightly to conceptualize and understand. an ez method is (a)(c) = n

so if i have ax + bx + c then i need to find the product of a and c (n) and then find two numbers that are multiply to n and add to b

So EXAMPLE TIME:

2x² + 5x + 3

n = 6
3 x 2 = 6 and 3 + 2 = 5

2x^2 + 3x + 2x + 3

(2 $x^{2}$ + 2x) + (3x + 3)

2x(x+1) + 3(x+1) Now we can group!

(2x+3)(x+1)

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At Billy‘s preschool they have bicycles and tricycles with a total of 57 wheels. The number of bicycles is three less than three

ikadub [295]

Use b for bicycles b and t for tricycles.

We know that each bicycle has 2 wheels, and each tricycle has 3 wheels, and if the entire number of wheels is 57, that means the

equation would be: 2b + 3t = 57

We can "separate" b by calling it "25 - t" as an alternative,

2(25 - t) + 3t = 57, or

50 - 2t + 3t = 57,

or 50 + t = 57, so

t = 7 So there must be 18 bicycles and 7 tricycles.

CHECKING:You can check this out by multiplying 7 tricycles x 3 wheels, which is 21,

and 18 bicycles x 2 wheels, which is 36

36 + 21 = 57

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Dimas [21]

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