Factor the GCF from the polynomial. x(x-3)-5(x-3)

snowlovelydayM

snowlovelydayM

Answered question

2021-05-17

Factor the GCF from the polynomial.
x(x3)5(x3)

Answer & Explanation

Alannej

Alannej

Skilled2021-05-19Added 104 answers

Step 1
To factorize: x(x-3)-5(x-3).
Factorizing is the reverse of calculating the product of factors. Factorization or factoring is defined as the breaking or decomposition of an entity (for example a number, a matrix, or a polynomial) into a product.
For example we can factorize the expression x27x+12 as
x27x+12
x23x4x+12
x(x-3)-4(x-3)
(x-3)(x-4)
Step 2
The given expression is: x(x-3)-5(x-3)
x(x-3)-5(x-3)
O solving futher we get:
x(x-3)-5(x-3)
=(x-3)[x-5]
=(x-3)(x-5)
Hence x(x-3)-5(x-3)=(x-3)(x-5).

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