48.6k views
1 vote
Consider the polynomial 16x2 – 1.

What is the value of ac?



What is the value of b?



What two numbers multiply to get ac and add to get b?



The factored form of 16x2 – 1 is

User Nielsvh
by
7.5k points

2 Answers

2 votes

Answer:

Consider the polynomial 16x2 – 1.

*) What is the value of ac?

–16

**) What is the value of b?

0

***) What two numbers multiply to get ac and add to get b?

–4 and 4

****) The factored form of 16x2 – 1 is

(4x– 1)(4x+ 1)

.

Explanation:

Edge 2021

User PeeHaa
by
8.0k points
4 votes

9514 1404 393

Answer:

  • ac = -16
  • b = 0
  • -4, 4
  • (4x -1)(4x +1)

Explanation:

a) ac is the product of the leading coefficient (16) and the constant (-1).

ac = (16)(-1) = -16

__

b) b is the coefficient of x. There is no x term, so ...

b = 0

__

c) Two factors that add to give zero must be opposites. That is, they must be the square root of the opposite of -16, and the opposite of that.

the two numbers are -4 and 4

__

d) The factored form for the two numbers p and q just found is ...

ax^2 +bx +c = (ax +p)(ax +q)/a

= (16x -4)(16x +4)/16

= (4x -1)(4x +1) . . . . factored form of 16x^2 -1

User Ahad Porkar
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories