divide 3 x square minus 5 x minus 2 by x minus 2
Answers
Solution:
By division method, we can easily find out the quotient and remainder.
x - 2) 3x² - 5x - 2 ( 3x + 1
3x² - 6x
- +
—————————————
x - 2
x - 2
- +
—————————————
0
So,
→ Quotient = 3x + 1
→ Remainder = 0
Verification:
We know that,
→ Dividend = Divisor × Quotient + Remainder
Here,
→ Dividend = 3x² - 5x - 2
→ Divisor = x - 2
→ Quotient = 3x + 1
→ Remainder = 0
So,
Divisor × Quotient + Remainder
= (x - 2)(3x + 1) + 0
= x(3x + 1) - 2(3x + 1)
= 3x² + x - 6x - 2
= 3x² - 5x - 2
= Dividend.
∆ So, our answer is correct (Verified)
Step-by-step explanation:
Solution:
- By division method, we can easily find out the quotient and remainder.
⭐ x - 2) 3x² - 5x - 2 ( 3x + 1
3x² - 6x
- +
—————————————
x - 2
x - 2
- +
—————————————
0
So,
→ Quotient = 3x + 1
→ Remainder = 0
Verification:
⭐We know that,
→ Dividend = Divisor × Quotient + Remainder
Here,
⭐→ Dividend = 3x² - 5x - 2
→ Divisor = x - 2
→ Quotient = 3x + 1
→ Remainder = 0
So,
⭐Divisor × Quotient + Remainder
= (x - 2)(3x + 1) + 0
= x(3x + 1) - 2(3x + 1)
= 3x² + x - 6x - 2
= 3x² - 5x - 2
= Dividend.
∆ So, our answer is correct (Verified)