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olganol [36]
3 years ago
14

Factorise f²-f-20 step by step ​

Mathematics
2 answers:
dlinn [17]3 years ago
8 0

Answer:

(f+4)(f−5)

 

Step-by-step explanation:

The middle number is -1 and the last number is -20.

Factoring means we want something like

(f+_)(f+_)

We need two numbers that...

Add together to get -1

Multiply together to get -20

4+-5 = -1

4*-5 = -20

Fill in the blanks in

(f+_)(f+_)

with 4 and -5 to get...

(f+4)(f-5)

Naily [24]3 years ago
4 0

<em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em>

<em>Hey</em><em>!</em><em>!</em>

<em>Sol</em><em>ution</em><em>,</em>

<em>f^</em><em>2</em><em>-</em><em>f</em><em>-</em><em>2</em><em>0</em>

<em>=</em><em> </em><em>f^</em><em>2</em><em>-</em><em>(</em><em>5</em><em>-</em><em>4</em><em>)</em><em>f-20</em>

<em>=</em><em> </em><em>f^</em><em>2</em><em>-</em><em>5</em><em>f</em><em>+</em><em>4</em><em>f</em><em>-</em><em>2</em><em>0</em>

<em>=</em><em> </em><em>f</em><em>(</em><em>f-5</em><em>)</em><em>+</em><em>4</em><em>(</em><em>f-5</em><em>)</em>

<em>=</em><em>(</em><em>f</em><em>-</em><em>5</em><em>)</em><em>(</em><em>f</em><em>+</em><em>4</em><em>)</em>

<em>So</em><em> </em><em>the</em><em> </em><em>ans</em><em>wer</em><em> </em><em>is</em><em> </em><em>(</em><em>f</em><em>-</em><em>5</em><em>)</em><em>(</em><em>f</em><em>+</em><em>4</em><em>)</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>

<em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em>

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