Find the remainder of (h4 + h2 – 2) ÷ (h + 3).

1 answer:

5 0

We can solve the problem by two methods: Synthetic division and long division.

Synthetic division:
-3 | 1 0 1 0 -2
-3 9 -30 90
---------------------------
1 -3 10 -30 88
The remainder is 88.

By long division:
h^3 -3h^2 + 10h -30
---------------------------------------
x + 3 | h^4 + 0h^3 + h^2 + 0h -2
h^4 + 3h^3
----------------
-3h^3 + h^2 + 0h -2
-3h^3 -9h^2
-------------------------------
10h^2 + 0h -2
10h^2 +30h
-----------------------
-30h - 2
-30h -90
--------------
88
The remainder is 88

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Step-by-step explanation:

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3 years ago

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sashaice [31]

Assuming the bases are laid out in a square, then we can use the Pythagorean Theorem to find the distance from home plate to second base.

This distance is exactly the length of the hypotenuse of the right triangle that forms when you split the square along the diagonal. Let this distance be x

Each of the legs are 90 ft, so a = 90 and b = 90. The hypotenuse is c = x for now.

a^2 + b^2 = c^2
90^2 + 90^2 = x^2
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