Hey there!
In order to multiply these polynomials together, you will take both terms of the first polynomial and multiply them by each term in the second polynomial. You can then combine any like terms to get your final answer.
(2x² – 5x)(4x² – 12x + 10)
2x² × 4x² = 8x⁴
2x² × –12x = –24x³
2x² × 10 = 20x²
–5x × 4x² = –20x³
–5x × –12x = 60x²
–5x × 10 = –50x
Write all of these terms together. You can rearrange the similar ones to be next to each other.
8x⁴ – 24x³ – 20x³ + 20x² + 60x² – 50x
Just add or subtract the terms to simplify, if they can be.
8x⁴ – 44x³ + 80x² – 50x
(8x⁴ – 44x³ + 80x² – 50x) will be your final answer.
Hope this helped you out! :-)
Answer:
<h2>∠HFG = 115°</h2>
Step-by-step explanation:
∠JFG + ∠HJF = 180° <em>[Adjacent angles of parallelogram are supplementary] </em>
<em>∠</em>JFG = 65°
=> 65° + ∠HJF = 180°
=> ∠HFG = 180° - 65°
=> ∠HFG = 115°
A) because when they are equal it means that their y has the same value, which means their intersection point.
B) You should take all integers from (-2, 2) which are: -2, -1, 0, 1, 2 and put them one by one in the example:
x = -2
y1 = 4^-(-2) = 4^2 = 16
y2 = 2^(-(-2) + 1) = 2^(2+1) = 2^3 = 8
y1 ≠ y2 => so x=-2 isn't our answer
-------------------------------------------------------
x = -1
y1 = 4^-(-1) = 4^1 = 4
y2 = 2^(-(-1) + 1) = 2^(1+1) = 2^2 = 4
y1 = y2 => so our answer will be x = -1
-------------------------------------------------------
x = 0
y1 = 4^-(0) = 4^0 = 1
y2 = 2^(-(0) + 1) = 2^(0+1) = 2^1 = 2
y1 ≠ y2 => so x=0 isn't our answer
--------------------------------------------------------------
x = 1
y1 = 4^-(1) = 4^(-1) = 1/4
y2 = 2^(-(1) + 1) = 2^(-1+1) = 2^0 = 1
y1 ≠ y2 => so x=1 isn't our answer
--------------------------------------------------------------
x = 2
y1 = 4^-(2) = 4^(-2) = 1/16
y2 = 2^(-(2) + 1) = 2^(-2+1) = 2^(-1) = 1/2
y1 ≠ y2 => so x=2 isn't our answer
Which means that our final answer is: x=-1
C) You should draw both graphics, and their intersection point (x) will be the answer.
I hope it helped.
