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Answer:
Step-by-step explanation:
From the graph attached,
Coordinates of the vertices are,
Q(1, 3), R(3, -3), S(0, -2) and T(-2, 1)
Following the rule of translation by 3 units to the right and 2 units down
(x, y) → (x+3, y-2)
Q(1, 3) → Q''(4, 1)
R(3, -3) → R"(6, -5)
S(0, -2) → S"(3, -4)
T(-2, 1) → T"(1, -1)
Following rule (rotation of a point by 180° about the origin) will give the image points,
(x, y) → (-x, -y)
Q"(4, 1) → Q'(-4, -1)
R"(6, -5) → R'(-6, 5)
S"(3, -4) → S'(-3, 4)
T"(1, -1) → T'(-1, 1)
The degree of the sum and difference of the polynomials are 6 and 7 respectively.
given polynomials are:
the sum of polynomials =
the difference of polynomials =
A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.
degree of sum = monomial with highest power = 5+1=6
degree of difference = monomial with highest power = 3+4 = 7
therefore, the degree of the sum and difference of the polynomials are 6 and 7 respectively.
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