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Damm [24]
3 years ago
12

Factor the following polynomial 9x2 + 21x – 18

Mathematics
2 answers:
solong [7]3 years ago
4 0

Answer:

factors are

21 and x

Step-by-step explanation:

equation 9 × 2 + 21x - 18

terms 9 , 2, 21x, -18

factors 21x = 21 and x

Elena L [17]3 years ago
3 0

Answer:

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

Step-by-step explanation:

Given

9x² + 21x - 18 ← factor out 3 from each term

= 3(3x² + 7x - 6) ← factor the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × - 6 = - 18 and sum = + 7

The factors are + 9 and - 2

Use these factors to split the x- term

3x² + 9x - 2x - 6 ( factor first/second and third/fourth terms )

3x(x + 3) - 2(x + 3) ← factor out (x + 3) from each term

(x + 3)(3x - 2)

Then

9x² + 21x - 18 = 3(x + 3)(3x - 2) ← in factored form

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<h3>What are mathematical operations?</h3>
  • An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.
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  • A mathematical action is called an operation.
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