Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Answer 1

Answer:

The factors of 5y2 − 2y − 7 are (5y − 7) and ( y + 1 )

Step-by-step explanation:

Answer 2

Answer:

  (y +1)

Step-by-step explanation:

When you multiply the binomials (ay+b)(cy+d), the product is ...

  acy² +(ad +bc)y +bd

In this problem, you know the product and you know one of the factors (ay+b) = (5y -7), so ...

• ac = 5
• a = 5
• bd = -7
• b = -7

These tell you ...

  c = ac/a = 5/5 = 1

  d = bd/b = -7/7 = 1

Then the other factor is ...

  (cy+d) = (y+1)

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Check

We can check this by looking at the y-term:

  (ad+bc) = -2 . . . . from the given polynomial

  (5)(1) +(-7)(1) = 5-7 = -2 . . . . answer checks OK