Answer: (x - 6)(x + 1)
Step-by-step explanation: This trinomial has an x² term, an x term and a constant term so it can be factored as the product of two binomials.
So starting with our two sets of parentheses, x² factors as x multiplied by x. Now we want to find factors of the constant term that add to the coefficient of the middle term. So we're looking for factors of -6 that add to -5.
A negative number factors into the product of a positive and a negative. So our factors of -6 are 6 × -1, -6 × 1, 3 × -2, or -3 × 2.
This is a trick problem because many of these pairs of factors look like they could add to -5 but the only one that does is -6 × 1.
So our answer is (x - 6)(x + 1).
Answer:
17
Step-by-step explanation:
Answer:
7x(x - 2y)(x + 2y).
Step-by-step explanation:
First take out the GCF which is 7x:
7x^3-28xy^2
= 7x(x^2- 4y^2)
Now factor the expression in the brackets:
= 7x(x - 2y)(x + 2y) (answer).