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QveST [7]
2 years ago
7

2x^3-x^2+x-2 factorize​

Mathematics
2 answers:
Alex Ar [27]2 years ago
5 0
<h2>Solution :</h2>

  • 2x³ - x² + x - 2

put x = 1,

  • 2•(1³) - 1² + 1 - 2

  • 2 - 1 + 1 - 2

  • 0

it's value is 0.

hence, it's a solution

divide 2x³ - x² + x - 2 by (x - 1)

  • 2x² + x + 2

it can be written as :

  • (x - 1)(2x² + x + 2)

bekas [8.4K]2 years ago
4 0

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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The answer is 0.6.

9.24÷15.4=0.6
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What are the zeros of the polynomial
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The zeros of the potynomial y = 3(x + 4)(x + 1)(x - 3)

3(x + 4)(x + 1)(x - 3) = 0 \iff x+4=0\ \vee\ x+1=0\ \vee\ x-3=0\\\\x=-4\ \vee\ x=-1\ \vee\ x=3

<h3>Answer: a) -4, -1, 3</h3>
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3 years ago
What is the slope of a line perpendicular to the line whose equation is 4x−10y=404x−10y=40. Fully simplify your answer.
Anna007 [38]

Answer:

-  \frac{5}{2}

Step-by-step explanation:

4x -10y= 40

Let's rewrite this equation in the slope-intercept form (y= mx +c) so that we can obtain it's slope.

10y= 4x -40

Divide both side by 10:

y =  \frac{2}{5} x - 4

The product of the gradients of perpendicular lines is -1.

⅖(gradient of line)= -1

Gradient of perpendicular line

=  - 1 \div  \frac{2}{5}

=  - 1 \times  \frac{5}{2}

=  -  \frac{5}{2}

5 0
3 years ago
: Cho tam giác ABC vuông tại C, trong đó AC = 0,9m, BC = 1,2m. Tính các tỉ số lượng giác của góc B, từ đó suy ra các tỉ số lượng
Xelga [282]

Answer:

Step-by-step explanation:

Vì tam giác ABC vuông tại C nên ta áp dụng định lí pitago=> AB²=AC²+BC²=0.9²+1.5²=3.06=>AB= (3 căn bậc hai của 34)/10

sin B=AC/AB=(3 căn bậc hai của 34)/34

cos B=BC/AB

tan B= AC/BC

cot B= BC/AC

Tương tự suy ra tỉ số lượng giác góc A

5 0
3 years ago
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