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patriot [66]
3 years ago
5

Which of the binomials below is a factor of this trinomial ? 6x^2+30x+36

Mathematics
2 answers:
mrs_skeptik [129]3 years ago
6 0

Answer:

6((x+2)(x+3))    

Step-by-step explanation:

The given expression is:

6x^2+30x+36

On factorising this expression, we get

=6(x^2+5x+6)

=6(x^2+2x+3x+6)

=6(x(x+2)+3(x+2))

=6((x+2)(x+3))

therefore, on factorising the given expression 6x^2+30x+36, we get 6((x+2)(x+3)).

Thus, the binomial is 6((x+2)(x+3)).

algol [13]3 years ago
5 0
<span>6x2-5x-25 = (3x+5)(2x-5) when factored</span>
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mote1985 [20]

Answer:

5 large boxes

3 small boxes

Step-by-step explanation:

Create two equations to represent the problem.

let "a" be the number of small boxes

let "b" be the number of large boxes

20a + 40b = 260    This equation shows the numbers of books

a + b = 8                  This equations shows the number of boxes

Solve the system of equations (solve for a and b). We can solve using the substitution method.

Rearrange a + b = 8 to isolate one of the variables.

a = 8 - b    New equation that represents "a"

Since we know an equation for "a", we can substitute what "a" equals into the other equation. There will only be one variable in the equation, so we can solve by isolating. Isolate by doing reverse operations.

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20(8 - b) + 40b = 260     Distribute 20 over the brackets by multiplying

160 - 20b + 40b = 260    Collect like terms (numbers with same variables)

160 + 20b = 260    Start isolating "b". Subtract 160 from both sides

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Substitute "b" for 5 in the simplest equation

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Answer:

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Step-by-step explanation:

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Information we know:

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