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2 years ago

The quotient of (x4 + 5x3 – 3x – 15) and a polynomial is (x3 – 3). What is the polynomial?

Mathematics

2 answers:

adell [148]2 years ago

7 0

Answer: its C

Step-by-step explanation: i just took the test

grandymaker [24]2 years ago

3 0

Answer:

g(x) = x+5

Step-by-step explanation:

Given that,

$f(x)=x^4+5x^3-3x-15$

$q(x) = (x^3-3)$

We need to find the polynomial. We know that, Euclid division lemma states that

$f(x)=q(x)\times g(x)+r(x)$

Where

f(x) is dividend

g(x) is the poynomial

q(x) is quotient

r(x) is remainder

So,

$x^4+5x^3-3x-15=(x^3-3)\times g(x) +0\\\\g(x)=\dfrac{x^4+5x^3-3x-15}{(x^3-3)}\\\\g(x)=x+5$

So, the polynomial is (x+5).

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3 years ago

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Answer:

answer D

Step-by-step explanation:

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3 years ago

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ANEK [815]

Answer:

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In triangle RAS and triangle QAT

$\angle R =\angle Q$ [Angle]

$AS =AT$ [Side] [Given]

By Base Angle Theorem states that in an isosceles triangle(i.e, AST), the angles opposite the congruent sides(AS =AT) are congruent.

⇒ $\angle 5= \angle 6$ [By base ∠'s of isosceles triangle are equal]

By definition of supplementary angles, if two Angles are Supplementary when they add up to 180 degrees.

$\angle 4$ , $\angle 5$ are supplementary and $\angle 6$ , $\angle 7$ are supplementary.

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Two $\angle 's$ supplementary to equal $\angle 's$

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Since, $\angle 5 =\angle 6$

then, we get;

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3 years ago

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beks73 [17]

Answer:

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Step-by-step explanation:

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