Completely factor the polynomial 8x2 24x 20x 60


Asked by maham237 @ in Mathematics viewed by 425 People


Completely factor the polynomial 8x2 – 24x + 20x – 60. 8x(x + 3)(x – 5) (4x – 3)(2x – 5) 2(2x – 3)(2x + 5) 4(x – 3)(2x + 5)

Answered by maham237 @



8x2 – 24x + 20x – 60

We are given the expression:

8x^{2}-24x+20x-60

Now we have to perform following steps here:

Step 1: Find the GCF

The GCF here is 4, so taking out the GCF

8x^{2}-24x+20x-60

=4(2x^{2}-6x+5x-15)

Step 2: Factor by grouping

Group first two terms together and last two terms together,

4[(2x^{2}-6x)+(5x-15)]

Now factor each group by finding GCF,

4[(2x(x-3)+5(x-3)]

=4[(2x+5)(x-3)]

Answer: The final factorised form is 4[(2x+5)(x-3)].


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