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MAVERICK [17]
3 years ago
11

Factor the polynomial. 5x4 + 10x3 + 15x2

Mathematics
1 answer:
Xelga [282]3 years ago
8 0

Answer:

5x^2(x^2 + 2x + 3)

Step-by-step explanation:

All the terms can be factored by 5 and x^2, so we get:

5x^2(x^2 + 2x + 3)

there are no more common terms so this is the answer

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DUE RIGHT NOW!!!!! PLEASE HELP!!!!!
elixir [45]
Gfurknegwuwn nakwubwkw. Jahsken
6 0
3 years ago
Write a polynomial function $f$ of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
olganol [36]

Answer:

f(x) = x^{3} + 4x^{2} -7x^{} -10^{}

Step-by-step explanation:

The zeros of the polynomial function are given us as -5,-1,2

If the zeros of a polynomial function are α,β,ω, the polynomial function can be obtained using the expression below:

f(x) = (x - α)(x - β)(x - ω)

where α = -5, β = -1, and ω = 2

f(x)=(x-(-5) )(x -(-1))(x - 2) = (x+5)(x+1)(x-2)\\\\f(x)=(x+5)(x^{2} -2x + x -2) = (x+5)(x^{2}  -x-2)\\\\f(x)=x(x^{2}  -x-2)+5(x^{2}  -x-2)\\\\f(x)= x^{3} - x^{2} -2x + 5x^{2} - 5x - 10\\\\f(x)= x^{3} + 4x^{2} -7x - 10

<em>NB: To arrive at the answer, expand the brackets and after expansion, collect like terms to obtain the final answer</em>

4 0
3 years ago
Question Progress<br><br> Find the volume of this triangular prism.<br> 6 cm<br> 10 cm<br> 7 cm
Lerok [7]

Answer:

The volume of the triangular prism would be 210.

Step-by-step explanation:

Formula:

Volume of a triangular prism = (1/2) x Base area x Height

or

V = 1/2 x B x H

Find the Base area = l x w

Base area = (10 x 7) 70

Base area = 70 sq.m

V = (1/2) x (70) x 6

V = 210

brainliest please?

8 0
3 years ago
A 12 pack of soda cost $5.40. What is the cost per can?
Agata [3.3K]

Answer:0.45

Step-by-step explanation

Divide 5.40 by 12 and it gives you 0.45

8 0
3 years ago
Read 2 more answers
Sima drinks 2.5 litres of water each day.
lina2011 [118]

Answer:

20 glasses a day

Step-by-step explanation:

2.5litres equals 2500millilitres

2500÷125=20

6 0
3 years ago
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