Answered

Get clear, concise, and accurate answers to your questions on IDNLearn.com. Join our community to receive timely and reliable responses to your questions from knowledgeable professionals.

Select the correct answer.
Simplify the polynomial expression.
3x(-2x + 7) - 5(x - 1)(4x - 3)
OA. -26x2 + 56x - 15
B.
14x214x + 15
OC. -26x2 + 21x - 15
OD. -2x2 + 14x - 2

Sagot :

Theleangreenbeanidn

Simplifying Polynomial Expressions

To simplify a polynomial expression, we can expand parentheses by multiplying the terms within with the coefficient outside of them and add like terms.

Solving the Question

[tex]3x(-2x + 7) - 5(x - 1)(4x - 3)[/tex]

⇒ Open up the parentheses

[tex]=(3x*(-2x) + 3x*7) - 5(x(4x - 3)-1(4x-3))\\=(-6x^2 + 21x) - 5(4x^2 - 3x-4x+3)\\=-6x^2 + 21x - 5(4x^2 - 7x+3)=-6x^2 + 21x - (20x^2 - 35x+15)\\=-6x^2 + 21x - 20x^2 + 35x-15\\=- 26x^2 + 56x-15[/tex]

Answer

[tex]- 26x^2 + 56x-15[/tex]

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Discover the answers you need at IDNLearn.com. Thank you for visiting, and we hope to see you again for more solutions.