Question

Factor the following trinomial.

Answer 1

Answer:

Final answer is D. $(y-7)(y-8)$

Step-by-step explanation:

We need to factor the given trinomial $y^2-15y+56$

$=y^2-7y-8y+56$

Make two groups of first two and last two term then find GCF

$=y(y-7)-8(y-7)$

$=(y-8)(y-7)$

$=(y-7)(y-8)$

Which correctly matches with choice D)

Hence final answer is D. $(y-7)(y-8)$

Answer 2

Step-by-step explanation: This trinomial is in a special form that can be factored as the product of two binomials.

The first position in each binomial will be a factor of the y² term

and since y² breaks down into y · y, we use those as our factors.

The second term in each binomial will be factors of the

constant term that add to the coefficient of the middle term.

Since the middle term is negative, we use

negative factors of the constant term .

The factors that give us a product of 56 and add to -15 are -8 and -7.

So our answer is (y - 8)(y - 7).

This is the same as (y - 7)(y -8).