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Semmy [17]
3 years ago
5

Use the Factor Theorem to determine whether the first polynomial is a factor of the second polynomial.

Mathematics
1 answer:
dedylja [7]3 years ago
3 0

Answer:

Not a factor

Step-by-step explanation:

If (x - 3) is a factor then f(3) = 0

f(x) = x² - 4x + 30

f(3) = 2(3)² - 4(3) + 30 = 18 - 12 + 30 = 36 ≠ 0

Since f(3) ≠ 0 then (x - 3) is not a factor of f(x)

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Step-by-step explanation:

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Tim poured 0.5 liters of water into a beaker and then added 300 milliliters more. What was the total amount of water in the beak
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Using the binomial theorem, expand the expression (4 + y) to the power of 4
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Step-by-step explanation:

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3 years ago
Simplify the expression (2x − 9)(x + 6)
kenny6666 [7]

<u>Answer:  </u>

Simplified form of given expression (2x – 9 )( x + 6 )  is 2 \mathrm{x}^{2}+3 \mathrm{x}-54

<u> Solution: </u>

We need to simplify following expression.

(2x – 9) ( x + 6)  

For sake of simplicity lets first assume 2x – 9 = A

So expression becomes A(x+6)

= Ax + A6

Now replace A by 2x – 9

= (2x – 9 ) x + (2x – 9 ) 6

=2 \mathrm{x}^{2}-9 \mathrm{x}+12 \mathrm{x}-54

On simplification, we get

=2 \mathrm{x}^{2}+3 \mathrm{x}-54

Hence simplified form of given expression (2x – 9 )( x + 6 )  is = 2 \mathrm{x}^{2}+3 \mathrm{x}-54

7 0
3 years ago
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