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2 years ago

Test 1. Give the appropriate factoring technique and factors of the following polynomials.

1 answer:

3 0

1) 5t^2 (1 + 6t)
2) 4x^3y^5 (5x + 2y)
3) (5r + 6x)(5r - 6x)
4) (x + 10)(x - 10)
5) (x - 3)^2
6) (x -5)(x - 3)
7) 3(16r^3 + 9)
8) 8(c^3 + 8d^3)
9) (2r - 125)(4r^2 + 250r + 15625)
10) (c + 3)(c - 1)

You might be interested in

What are the steps to (3w^3+7^2-4w+3) and (w+3)

Crazy boy [7]

Equation at the end of step 1 : Step 2 :Equation at the end of step 2 : Step 3 : 3w3 + 7w2 - 4w + 3 Simplify / w + 3 Checking for a perfect cube :

3.1 3w3 + 7w2 - 4w + 3 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 3w3 + 7w2 - 4w + 3

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -4w + 3
Group 2: 3w3 + 7w2

Pull out from each group separately :

Group 1: (-4w + 3) • (1) = (4w - 3) • (-1)
Group 2: (3w + 7) • (w2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

3.3 Find roots (zeroes) of : F(w) = 3w3 + 7w2 - 4w + 3
Polynomial Roots Calculator is a set of methods aimed at finding values of w for which F(w)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers w which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 3 and the Trailing Constant is 3.

The factor(s) are:

of the Leading Coefficient : 1,3
of the Trailing Constant : 1 ,3

Let us test ....

P Q P/Q F(P/Q) Divisor -1 1 -1.00 11.00 -1 3 -0.33 5.00 -3 1 -3.00 -3.00 1 1 1.00 9.00 1 3 0.33 2.56 3 1 3.00 135.00

Polynomial Roots Calculator found no rational roots

Polynomial Long Division :

3.4 Polynomial Long Division
Dividing : 3w3 + 7w2 - 4w + 3
 ("Dividend")
 By : w + 3 ("Divisor")

dividend 3w3 + 7w2 - 4w + 3 - divisor * 3w2 3w3 + 9w2 remainder - 2w2 - 4w + 3 - divisor * -2w1 - 2w2 - 6w remainder 2w + 3 - divisor * 2w0 2w + 6 remainder - 3

Quotient : 3w2 - 2w + 2
 Remainder : -3

Final result : 3w3 + 7w2 - 4w + 3 over w + 3

5 0

2 years ago

Two trains on opposite tracks leave the same station at the same time. One train travels at an average speed of 80 kilometres pe

GREYUIT [131]

9514 1404 393

Answer:

20 minutes

Step-by-step explanation:

The trains are separating at the rate of 80 +70 = 150 km/hour. The time required to be 50 km apart is then ...

time = distance/speed = (50 km)/(150 km/h) = 1/3 h = 20 minutes

7 0

2 years ago

3.5y−12=1.5(y−2) A) One solution B) No solution C) Infinite solutions

Montano1993 [528]

Answer:

Step-by-step explanation:

3.5y - 12 = 1.5y - 3

2y -12 = -3

2y = 9

y = 4.5

the answer is a. one solution

5 0

3 years ago

A triangle has an area of 80 yards and a height of 10 yards how long is the base of the triangle

Wewaii [24]

16 yards is your answer for this!
its 2 with area/hight.
if you need the steps of this just ask ill show you how to do it step by step

5 0

2 years ago

Refer to the previous exercise. The researchers wanted a sufficiently large sample to be able to estimate the probability of pre

Maru [420]

Answer:

The large sample n = 117.07

Step-by-step explanation:

Step(i):-

Given that the estimate error (M.E) = 0.08

The proportion (p) = 0.75

q =1-p = 1- 0.75 =0.25

Level of significance = 0.05

Z₀.₀₅ = 1.96≅ 2

Step(ii):-

The Marginal error is determined by

M.E = $\frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }$

$0.08 = \frac{2 X \sqrt{0.75(1-0.75)} }{\sqrt{n} }$

Cross multiplication , we get

$\sqrt{n} = \frac{2 X \sqrt{0.75(1-0.75)} }{0.08 }$

√n = $\frac{2 X0.4330}{0.08} = 10.825$

squaring on both sides , we get

n = 117.07

Final answer:-

The large sample n = 117.07

6 0

2 years ago