Please I need help Multiply the following
polynomials. The solution must be in standard form.
(1 + 3x5) (17x2 + 9x6 – 20)
O 24x11 +42x7 + 9x6 + 60x5 – 17,2 – 81
O 17x2 + 27:11 – 20
O 27x11 + 5127 + 9.26 – 6025 + 17x2 – 20
0 27x10
+ 5108 + 9x4 – 60x2 – 20

9514 1404 393

  (c)  27x^11 +51x^7 +9x^6 -60x^5 +17x^2 -20

Step-by-step explanation:

As with many multiple-choice questions, you only need to look at something that will discriminate the correct answer from the wrong one.

The highest-degree product term is the product of the highest-degree terms in the factors:

  (3x^5)(9x^6) = 27x^11

This matches choice C only.

In case you're interested in actually performing the rest of the multiplication, the distributive property applies.

  (1 +3x^5)(17x^2 +9x^6 -20)

  = 1(17x^2 +9x^6 -20) +3x^5(17x^2 +9x^6 -20)

  = 17x^2 +9x^6 -20 +51x^7 +27x^11 -60x^5

Writing these terms in order of decreasing exponents gives ...

  = 27x^11 +51x^7 +9x^6 -60x^5 +17x^2 -20

step-by-step explanation: