Question

Which statement shows how the product of (x + 7)2 demonstrates the closure property of multiplication?

Answer 1

(x + 7)² = x² + 14x + 49

The true statement that show the closure property of multiplication :

a.  x² + 14x + 49 is a polynomial

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Further explanation

If equation ax³ + bx² + cx + d = 0 has roots x₁ , x₂ , and x₃ then

$x_1 + x_2 + x_3 = - \frac{b}{a}$

$x_1 x_2 + x_1 x_3 + x_2 x_3 = \frac{c}{a}$

$x_1 x_2 x_3 = - \frac{d}{a}$

Let us now tackle the problem!

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This problem is about Polynomial.

$(x + 7)^2 = (x + 7)(x + 7)$

$(x + 7)^2 = x^2 + 7x + 7x + 7(7)$

$(x + 7)^2 = x^2 + 14x + 49$

$x^2 + 14x + 49$ is a polynomial.

$x + 7$ is polynomial.

It demonstrates the closure property of multiplication.

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Conclusion:

The true statement that show how the product of (x + 7)² demonstrates the closure property of multiplication:

a.  x² + 14x + 49 is a polynomial

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Learn more

• Solving Quadratic Equations by Factoring : brainly.com/question/12182022
• Determine the Discriminant : brainly.com/question/4600943
• Formula of Quadratic Equations : brainly.com/question/3776858

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Answer details

Grade: High School

Subject: Mathematics

Chapter: Polynomial

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Keywords: Quadratic , Equation , Discriminant , Real , Number

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Answer 2

answer:

a.  x2 + 14x + 49 is a polynomial