Instructions: Multiply the polynomial expressions. (2x+3)(2x2−5x−5)(2𝑥+3)(2𝑥2−5𝑥−5)Question 10Select one:4x3−4x2−5x−154𝑥3−4𝑥2−5𝑥−154x3−4x2−25x−154𝑥3−4𝑥2−25𝑥−154x3+16x2−25x−154𝑥3+16𝑥2−25𝑥−1510x2−35x−15
Question
Instructions: Multiply the polynomial expressions. (2x+3)(2x2−5x−5)(2𝑥+3)(2𝑥2−5𝑥−5)Question 10Select one:4x3−4x2−5x−154𝑥3−4𝑥2−5𝑥−154x3−4x2−25x−154𝑥3−4𝑥2−25𝑥−154x3+16x2−25x−154𝑥3+16𝑥2−25𝑥−1510x2−35x−15
Solution
To multiply the polynomial expressions (2x+3)(2x²-5x-5), we first distribute each term in the first polynomial to each term in the second polynomial.
First, multiply 2x by each term in the second polynomial:
2x * 2x² = 4x³ 2x * -5x = -10x² 2x * -5 = -10x
Next, multiply 3 by each term in the second polynomial:
3 * 2x² = 6x² 3 * -5x = -15x 3 * -5 = -15
Now, add the results together:
4x³ - 10x² - 10x + 6x² - 15x - 15
Combine like terms:
4x³ - 4x² - 25x - 15
So, the correct answer is 4x³ - 4x² - 25x - 15.
Similar Questions
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Instructions: Simplify the polynomial expression.(5−5x2−x)−(6x−4x2−3)(5−5𝑥2−𝑥)−(6𝑥−4𝑥2−3)Answer:
Multiply the rational expressions.2x2−2x−12x+5⋅x2−252x2+4x2𝑥2−2𝑥−12𝑥+5⋅𝑥2−252𝑥2+4𝑥Select one:a. (2x+4)(x−3)x+4(2𝑥+4)(𝑥−3)𝑥+4b. (x−3)(x+5)2x2+5x(𝑥−3)(𝑥+5)2𝑥2+5𝑥c. (x−3)(x−5)x(𝑥−3)(𝑥−5)𝑥d. (x−3)(x−5)2x(x+5)
(2x+5)(x 2 −4x−1)
What is the product of the polynomials (2x² + 5x)(x – 3)?
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