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Brilliant_brown [7]
2 years ago
5

Which has a larger area? A triangle with a base of 15ft and a height of 25

Mathematics
1 answer:
Minchanka [31]2 years ago
3 0

Answer:

Square

Step-by-step explanation:

Area of triangle = 1/2 * b * h

= 1/2 * 15 * 25

= 187.5 ft²

Area of square = side * side

= 14 * 14

= 196 ft²

Comparing both areas, it is clear that square have a larger area.

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Step-by-step explanation:

Factorize:

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<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

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As the polynomial is cubic:

\implies  f(x)=(x-1)(ax^2+bx+c)

Expanding the brackets:

\implies  f(x)=ax^3+bx^2+cx-ax^2-bx-c

\implies  f(x)=ax^3+(b-a)x^2+(c-b)x-c

Comparing coefficients with the original polynomial:

\implies ax^3=2x^3 \implies a=2

\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1

\implies -c=-2 \implies c=2

Therefore:

\implies  f(x)=(x-1)(2x^2+x+2)

Cannot be factored any further.

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