Question
Multiply: x2 - 8x + 8 by 6x2 -3x + 4
The correct answer is: 6x4 - 51x3 + 76x2 - 56x + 32
Answer:
- Multiplication of polynomials.
○ Follow three steps while multiplication of polynomials.
First, multiply each term in one polynomial by each term in the other polynomial using the distributive law.
Add the powers of the same variables using the exponent rule.
Then, simplify the resulting polynomial by adding or subtracting the like term
- Step by step explanation:
○ Given:
x2 - 8x + 8 and 6x2 -3x + 4
○ Step 1:
○ multiplication
(x2 - 8x + 8) (6x2 -3x + 4)
x2 (6x2 -3x + 4) - 8x (6x2 -3x + 4) + 8(6x2 -3x + 4)
(6x4-3x3 + 4x2) - (48x3 -24x2 + 32x) + (48x2 -24x + 32)
(6x4-3x3 + 4x2) - (48x3 -24x2 + 32x) + (48x2 -24x + 32)
○ Step 2:
○ Arrange like terms in decreasing order of power
6x4- 3x3 + 4x2 - 48x3 + 24x2 - 32x + 48x2 -24x + 32
(6x4) - (48x3 + 3x3) + (48x2 + 4x2+ 24x2) -(24x + 32x) + 32
(6x4) - (51x3) + (76x2) - (56x) + 32
6x4 - 51x3 + 76x2 - 56x + 32
- Final Answer:
6x4 - 51x3 + 76x2 - 56x + 32
○ Step 2:
○ Arrange like terms in decreasing order of power
Related Questions to study
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Use the difference of squares to find the product 56 × 44.
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Use the difference of squares to find the product 56 × 44.
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Find the area of the green rectangle.
![](data:image/png;base64,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)
Find the area of the green rectangle.
![](data:image/png;base64,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)
Complete the factor pair for ![18 x to the power of 4 plus 12 x cubed minus 24 x squared](data:image/png;base64,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)
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Complete the factor pair for ![18 x to the power of 4 plus 12 x cubed minus 24 x squared](data:image/png;base64,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)
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(ℎ + 𝑘)(ℎ − 𝑘) =
(ℎ + 𝑘)(ℎ − 𝑘) =
Find the product. (2𝑥 − 4)(2𝑥 + 4)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2
Find the product. (2𝑥 − 4)(2𝑥 + 4)
This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2