Question

nimn dvighat bahupad ke sunyak gyat kijiye?
$3x {}^{2} - x - 4$

$3x {}^{2} - x - 4$
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Answer 1

Step-by-step explanation:

1. 3x^2- x- 4

3x^2-4x+3x-4

x(3x- 4)1(3x-4)

(x+1)(3x-4)

(x+1) = x= -1

(3x-4) = 3x= 4

x= 4/3

-1, 4/3

2.In the given polynomial 3x

2

−x−4,

The first term is 3x

2

and its coefficient is 3.

The middle term is −x and its coefficient is −1.

The last term is a constant term −4.

Multiply the coefficient of the first term by the constant 3×−4=−12.

We now find the factor of −12 whose sum equals the coefficient of the middle term, which is −1 and then factorize the polynomial 3x

2

−x−4 as shown below:

3x

2

−x−4

=3x

2

+3x−4x−4

=3x(x+1)−4(x+1)

=(3x−4)(x+1)

Hence, 3x

2

−x−4=(3x−4)(x+1).

Answer 2

Answer:

(i) 3x + 5y = 7.5

This can be expressed in the form ax + by + c = 0 as 3x+5y+(−7.5)=03x+5y+-7.5=0.

(ii) 2x−y5+6=02x-y5+6=0

This can be expressed in the form ax + by + c = 0 as 2x+(−15)y+6=02x+-15y+6=0

(iii) 3y – 2x = 6

This can be expressed in the form ax + by + c = 0 as 2x+(−3y)+6=02x+-3y+6=0.

(iv) 4x = 5y

This can be expressed in the form ax + by + c = 0 as 4x−5y+0=04x-5y+0=0

(v) x5−y6=1x5-y6=1

This can be expressed in the form ax + by + c = 0 as 6x−5y=306x-5y=30

(vi) 2–√x+3–√y=52x+3y=5

This can be expressed in the form ax + by + c = 0 as 2–√x+3–√y+(−5)=0

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