Answer:
-2x^6 +7x^4 +3x^3 -3x^2 +11x +20
Step-by-step explanation:
(a) I wrote the coefficients down as ...
-2 0 1 -5
1 0 -3 -4
and used a progressive patterns of Xs to compute the product.
- x^6 term: (-2)(1) ⇒ -2x^6
- x^5 term: (-2)(0) + (1)(0) = 0
- x^4 term: (-2)(-3) + (1)(1) + (0)(0) ⇒ 7x^4
- x^3 term: (-2)(-4) + (1)(-5) + (0)(-3) + (0)(1) ⇒ 3x^3
- x^2 term: (0)(-4) + (0)(-5) + (1)(-3) ⇒ -3x^2
- x term: (1)(-4) + (-3)(-5) ⇒ 11x
- constant: (-5)(-4) ⇒ 20
So, the result is ...
-2x^6 +7x^4 +3x^3 -3x^2 +11x +20
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(b) The factors are the same, so the product will be the same.
