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CaHeK987 [17]
4 years ago
12

Multiply the polynomials. (x2 – 4) (x2 + 3x – 5)

Mathematics
1 answer:
tiny-mole [99]4 years ago
7 0

Answer:

\boxed{ \bold{ \boxed{ \sf{ {x}^{4}  + 3 {x}^{3}  - 9 {x}^{2}  - 12x + 20}}}}

Step-by-step explanation:

\sf{( {x}^{2}  - 4)( {x}^{2}  + 3x - 5)}

Use distributive property

\dashrightarrow{ \sf{ {x}^{2} ( {x}^{2}  + 3x - 5) - 4( {x}^{2}  + 3x - 5)}}

\dashrightarrow{ \sf{ {x}^{4}  + 3 {x}^{3} - 5 {x}^{2} - 4 {x}^{2}    - 12x + 20}}

Collect like terms

\dashrightarrow{ \sf{ {x}^{4}  +3 {x}^{3}  - 9 {x}^{2}  - 12x + 20}}

Hope I helped!

Best regards! :D

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Step-by-step explanation:

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4 years ago
Which single transformation can be applied to the graph of y = 72 <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D" id="TexFormu
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Answer:

B. Vertical Compression

Step-by-step explanation:

<em>You've answered the question; However, I'll assist with the explanation;</em>

Given

Original: y = 72\sqrt x

Translated: y = 9\sqrt x

Required

Determine the type of transformation applied to the original function

Observing both functions, we notice that \sqrt x is a common factor;

This implies that the function was compressed or stretched along the y axis (vertically)

To determine if its vertical compression or stretch;

We have to divide the translated function by the original function;

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Ratio = \frac{9}{72}

Ratio = 0.125

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Step-by-step explanation:

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