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3 years ago

Which of the following is a polynomial with rootsnegative square root of 5, square root of 5, and 3

Mathematics

1 answer:

Scrat [10]3 years ago

3 0

Answer:

P(x) = x³ - 3x² - 5x + 15

Step-by-step explanation:

∵ The roots of the polynomial are -√5 , √5 , 3

∴ The polynomial has 3 factors:

(x - √5) , (x + √5) , (x - 3)

∴ P(x) = (x - √5)(x + √5)(x - 3)

= (x² + √5x - √5x - 5)(x - 3)

= (x² - 5)(x - 3) = x³ - 3x² - 5x + 15

∴ P(x) = x³ - 3x² - 5x + 15

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2 years ago

What are the first 3 terms in. t(n)=-2n+7

seropon [69]

Answer:

The first 3 terms of the sequence $t(n)=-2n+7$ are:

$5, 3, 1$

Step-by-step explanation:

Given the sequence

$t(n)=-2n+7$

Here $n$ represents any term number in the sequence

Determining the first term

substitute n = 1 in the sequence to determine the first term

$t(n)=-2n+7$

$t(1)=-2(1)+7$

$t(1)=-2+7$

$t(1) = 5$

Determining the 2nd term

substitute n = 2 in the sequence to determine the 2nd term

$t(n)=-2n+7$

$t(2) = -2(2) + 7$

$t(2) = -4 + 7$

$t(2) = 3$

Determining the 3rd term

substitute n = 3 in the sequence to determine the 3rd term

$t(n)=-2n+7$

$t(3) = -2(3) + 7$

$t(3) = -6 + 7$

$t(3) = 1$

Therefore, the first 3 terms of the sequence $t(n)=-2n+7$ are:

$5, 3, 1$

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3 years ago