Factor each polynomial. x^{2}-4x-21

Annette Sabin 2021-12-17 Answered
Factor each polynomial.
x24x21
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Expert Answer

Shannon Hodgkinson
Answered 2021-12-18 Author has 34 answers
Step 1
Consider the polynomial: x24x21
Assume that the above equation is in the form x2+bx+c where b is sum of factors and c is product of factors
Find a pair of numbers whose product is and whose sum is .
In this case, whose product is and whose sum is -7,3
Step 2
Write the factored form using these integers: (x-7)(x+3)
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William Appel
Answered 2021-12-19 Author has 44 answers
Step 1
Given polynomial is x24x21.
To factor the given polynomial.
Solution:
Factoring the given polynomial.
x24x21=x27x+3x21
=x(x-7)+3(x-7)
=(x-7)(x+3)
Therefore on factoring the given polynomial, we get
x24x21=(x7)(x+3)
Step 2
Hence, required factor is x24x21=(x7)(x+3).
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