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2 answers:
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Explanation:
This can be explained by thinking numbers on the number line as:
Lets take we have to multiply a positive number (say, 2) with a negative number say (-3)
<u>2×(-3)</u>
Suppose someone is standing at 0 on the number line and to go to cover -3 , the person moves 3 units in the left hand side. Since, we have to compute for 2×(-3), The person has to cover the same distance twice. At last, he will be standing at -6, which is a negative number.
A image is shown below to represent the same.
<u>Thus, a positive times a negative is a negative number.</u>
Answer:
1. 4 + 26x² + 4x - 48
2. 2 - 23x² + 60x - 32
3. + 7
- 4x + 2
+ 14x² - 8
4. 2 +
- 28
+ 3x + 12
Step-by-step explanation:
To multiply polynomials, simply distribute whatever's outside the largest set of parenthesis, then combine like terms.
1) Distribute the parenthesis (x + 6):
x(4x² + 2x - 8) + 6(4x² + 2x - 8)
4 + 2x² -8x + 6(4x² + 2x -8)
4 + 2x² -8x + 24x² + 12x - 48
Combine like terms:
4 + 26x² + 4x - 48
2) Distribute the parenthesis (x - 8):
x(2x² - 7x + 4) + (-8)(2x² - 7x + 4)
2 - 7x² + 4x + (-8)(2x² - 7x + 4)
2 - 7x² + 4x + -16x² + 56x - 32
Combine like terms:
2 - 23x² + 60x - 32
3) Distribute the parenthesis (x + 2):
x( + 7x² - 4) + 2(
+ 7x² - 4)
+ 7
- 4x + 2(
+ 7x² - 4)
+ 7
- 4x + 2
+ 14x² - 8
No like terms to combine, so:
+ 7
- 4x + 2
+ 14x² - 8
4) Distribute the parenthesis (x + 4):
x(2 - 7
+ 3) + 4(2
- 7
+ 3)
2 - 7
+ 3x + 4(2
- 7
+ 3)
2 - 7
+ 3x + 8
- 28
+ 12
Combine like terms:
2 +
- 28
+ 3x + 12
hope this helps!