A = 1
x2 + 14x + 45
First, we can X box 14x and 45
And think of the greatest number that can add up to 14, so 5 and 9
The answer is (x + 5) (x + 9)
GCF:
35x3 + 42x - 28
The common factor is 7
Divide each number with the factor of 7
Answer: 5x2 + 6x - 4
Be sure to X box
7x2 + 38x + 40
A x C
So, 7x2 x 40 = 280
X box with 280 on top and 38x on the bottom
Find the factors that adds up to 38, so 10 and 28
3x2 - 30x + 48
Remember to GCF
First, we find the biggest number we can divide 30 and 48, resulting in 10 and 16.
And we write out (x2 - 10x + 16), now we factor out the trinomial term. We can X box that adds up to -10 and multiply to 16. -2 and -8.
The answer: 3(x - 2)(x - 8)
9k2 - 12k + 4
We start with figuring out if it is a perfect square trinomial, like 9k2 and 4. We can factor this.
So, we can factor the trinomial expression.
9k2 - 12k + 4 = (3k - 2)2
Find the GCF:
-40m5 + 56m2 - 80m
Factor is 8m
Divide each factor with 8m
And always subtract the exponents while dividing
Answer: 8m(-5m4 + 7m - 10)