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Anvisha [2.4K]
3 years ago
5

Using the X Method to Factor a Trinomial

Mathematics
1 answer:
sashaice [31]3 years ago
5 0

Answer:

(3x+2)(2x+3)

Step-by-step explanation:

Given the trinomial: 6x^2 + 13x + 6.

We want to use the X Method to Factor the Trinomial.

a=6, b=13, c=6

  • The value of ac is  6*6=36
  • The value of b=13

Factors of 36 are:

1,2,3,4,6,9,12,18,36

<u>Product of factors that gives 36 are:</u>

  • 1X36
  • 2X18
  • 3X12
  • 4X9
  • 6X6

The two numbers that have a product of ac (36) and a sum  of b (13) are: 4 and 9.

Therefore our trinomial becomes:

6x^2 + 13x + 6\\=6x^2 +9x +4x+ 6\\=3x(2x+3)+2(2x+3)\\=(3x+2)(2x+3)

Thus, 6x^2 + 13x + 6 in factored form is (3x+2)(2x+3)

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The value of ac is 36 and the value of b is 13. Then the value of ac + b is 49. The two numbers are 4 and 9.

<h3>What is polynomial?</h3>

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Consider the trinomial 6x² + 13x + 6.

Compare with the standard equation, we have

ax² + bx + c

Then we have

a = 6

b = 13

c = 6

The product of ac will be

ac = 6 × 6 = 36

The sum of ac and b will be

ac + b = 36 + 13 = 49

The two numbers that have a product of ac and a sum of b are 4 and 9.

More about the polynomial link is given below.

brainly.com/question/17822016

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Timothy’s mom bought 7/8 of a pound of grapes. She wants to split it between 8 kids. What fraction of the grapes will each kid g
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Answer:

Option B

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Step-by-step explanation:

Since the she bought 7/8 of a pound of grapes, the amount of grapes that Timothy's mum will be sharing is only 7/8 of a pound

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To get the amount that each kid will get, we will have to divide 7/8 by 6

Hence we have

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