Instructions: Multiply the polynomial expressions.ย (2x+5)(5x2โxโ4)(2๐ฅ+5)(5๐ฅ2โ๐ฅโ4)Question 9Select one:10x3+8x2โ13x+2010๐ฅ3+8๐ฅ2โ13๐ฅ+2010x3+23x2โ13xโ2010๐ฅ3+23๐ฅ2โ13๐ฅโ2010x3+27x2โ3x+2010๐ฅ3+27๐ฅ2โ3๐ฅ+2020x2โ15x+2020๐ฅ2โ15๐ฅ+20Clear my choiceCheckQuestion 9
Question
Instructions: Multiply the polynomial expressions.ย (2x+5)(5x2โxโ4)(2๐ฅ+5)(5๐ฅ2โ๐ฅโ4)Question 9Select one:10x3+8x2โ13x+2010๐ฅ3+8๐ฅ2โ13๐ฅ+2010x3+23x2โ13xโ2010๐ฅ3+23๐ฅ2โ13๐ฅโ2010x3+27x2โ3x+2010๐ฅ3+27๐ฅ2โ3๐ฅ+2020x2โ15x+2020๐ฅ2โ15๐ฅ+20Clear my choiceCheckQuestion 9
Solution
To solve this problem, we need to multiply the two polynomials (2x+5) and (5x^2-x-4) together.
Step 1: Distribute each term in the first polynomial to each term in the second polynomial.
2x * 5x^2 = 10x^3 2x * -x = -2x^2 2x * -4 = -8x 5 * 5x^2 = 25x^2 5 * -x = -5x 5 * -4 = -20
Step 2: Combine like terms.
10x^3 - 2x^2 - 8x + 25x^2 - 5x - 20 = 10x^3 + 23x^2 - 13x - 20
So, the correct answer is 10x^3 + 23x^2 - 13x - 20.
Similar Questions
Instructions: Multiply the polynomial expressions.ย (2x+3)(2x2โ5xโ5)(2๐ฅ+3)(2๐ฅ2โ5๐ฅโ5)Question 10Select one:4x3โ4x2โ5xโ154๐ฅ3โ4๐ฅ2โ5๐ฅโ154x3โ4x2โ25xโ154๐ฅ3โ4๐ฅ2โ25๐ฅโ154x3+16x2โ25xโ154๐ฅ3+16๐ฅ2โ25๐ฅโ1510x2โ35xโ15
Instructions: Simplify the polynomial expression.(5โ5x2โx)โ(6xโ4x2โ3)(5โ5๐ฅ2โ๐ฅ)โ(6๐ฅโ4๐ฅ2โ3)Answer:
Multiply the rational expressions.2x2โ2xโ12x+5โ x2โ252x2+4x2๐ฅ2โ2๐ฅโ12๐ฅ+5โ ๐ฅ2โ252๐ฅ2+4๐ฅSelect one:a. (2x+4)(xโ3)x+4(2๐ฅ+4)(๐ฅโ3)๐ฅ+4b. (xโ3)(x+5)2x2+5x(๐ฅโ3)(๐ฅ+5)2๐ฅ2+5๐ฅc. (xโ3)(xโ5)x(๐ฅโ3)(๐ฅโ5)๐ฅd. (xโ3)(xโ5)2x(x+5)
(2x+5)(x 2 โ4xโ1)
5(xโ5)โ2xโ4=โ20
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.