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3 years ago

What is the value of 2²+5²

Mathematics

1 answer:

BartSMP [9]3 years ago

3 0

Answer:

Step-by-step explanation:

2^2 + 5^2

PEMDAS

Exponents first

4+25

Then add

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2x^3-x^2+x-2 factorize

bekas [8.4K]

Answer:

$(x-1)(2x^2+x+2)$

Step-by-step explanation:

Factorize:

$f(x)=2x^3-x^2+x-2$

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

$\implies f(1)=2(1)^3-1^2+1-2=0$

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

$\implies f(x)=(x-1)(ax^2+bx+c)$

Expanding the brackets:

$\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c$

$\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c$

Comparing coefficients with the original polynomial:

$\implies ax^3=2x^3 \implies a=2$

$\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1$

$\implies -c=-2 \implies c=2$

Therefore:

$\implies f(x)=(x-1)(2x^2+x+2)$

Cannot be factored any further.

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2 years ago

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Round 4.392 to the nearest tenth

Allisa [31]

Answer:4.4

Step-by-step explanation:

The tenths place is the first number after the decimal which is the number 3 the hunderds place will tell you if your going to round up if the number is above 5 the tens goes up one so since the next number is 9 so the 3 becomes a 4.

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3 years ago

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Can someone help me plz. my answer was 9 but it was wrong. plz help!! solve for x<br> 3x+9=27

bija089 [108]

The answer is 6
See attached.

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3 years ago

What is the value of 2²+5²​

What is the value of 2²+5²