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sertanlavr [38]

2 years ago

14

Which expressions are polynomial?

1 answer:

Korolek [52]2 years ago

5 0

Polynomial means more than 1 term when all like terms are combined
terms are seperated by plus or minus symbols
you can't combine placeholders and numbers

y is 1 term, not poly
4x^3+y is 2 term, poly
2+s is 2 term, poly

answer is 4x^3+y and 2+s

cubic means highest power of the placeholder is 3
quadratic means highest power of placeholder is 2

trinomial means 3 terms

yep, 3 terms

4x^2+3x+5
highest power is 2
quadratic trinomial

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Wittaler [7]

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3/20, with the assumptions below.

Explanation:

The question seems incomplete.

In order to show you the procedure, I make some assumptions.

Assuming that Ricky wants to split the full content of the 3/4 of a bag between his 5 friends, to find what fraction of the bag will each friend receive you must divide 3/4 by 5.

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Convert the whole number 5 into fraction using 1 as denominator:

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RideAnS [48]

$\sf{Given : 3tanx + 7 = \dfrac{2}{(1 - sinx)(1 + sinx)}}$

We know that : (a - b)(a + b) = a² - b²

$\implies \sf{3tanx + 7 = \dfrac{2}{1 - sin^2x}}$

We know that : 1 - sin²x = cos²x

$\implies \sf{3tanx + 7 = \dfrac{2}{cos^2x}}$

$\sf{\bigstar \ \ We \ know \ that : \boxed{\sf{\dfrac{1}{cos^2x} = sec^2x}}}$

$\implies \sf{3tanx + 7 = 2sec^2x}$

We know that : sec²x = 1 + tan²x

$\implies \sf{3tanx + 7 =2(1 + tan^2x)}$

$\implies \sf{2 + 2tan^2x - 3 tanx - 7 = 0}$

$\implies \sf{2tan^2x - 3 tanx - 5 = 0}$

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$\implies \sf{2tanx(tanx + 1) - 5(tanx + 1) = 0}$

$\implies \sf{(tanx + 1)(2tanx - 5) = 0}$

$\implies \sf{tanx = -1 \ (or) \ tanx = \dfrac{5}{2} }$

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