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Division of a Polynomial by a Monomial

Question 22 T...

Question

Question 22

The equation 4x = 16 is satisfied by the following value of x

(a) 4

(b) 2

(c) 12

(d) -12

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Solution

Given equation 4x = 16 ...Eq.(i)

$\Rightarrow \frac{4 x}{4} = \frac{16}{4}$ [dividing both sides by 4]

$\Rightarrow x = 4$

Therefore, value of x is 4.

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Question 22

The equation 4x = 16 is satisfied by the following value of x

(a) 4

(b) 2

(c) 12

(d) -12

Q. Least integral value of

x

satisfying the in equation

(x^{2} + 1) < {(x + 2)}^{2} < 2 x^{2} + 4 x - 12

The value of x for which the equation "4x = 12" is satisfied is

D_{1} = ∣ ∣ ∣ ∣ \begin{matrix} x & a & b - 1 & 0 & x x & 2 & 1 \end{matrix} ∣ ∣ ∣ ∣

D_{2} = ∣ ∣ ∣ ∣ \begin{matrix} c x^{2} & 2 a & - b x & 2 & 1 - 1 & 0 & x \end{matrix} ∣ ∣ ∣ ∣ .

If all the roots of the equation

(x^{2} - 4 x - 7) (x^{2} - 2 x - 3) = 0

satisfy the equation

D_{1} + D_{2} = 0,

then the value of

a + 4 b + c

Q. Least integral value of

x

satisfying the inequation

(x^{2} + 1) < {(x + 2)}^{2} < 2 x^{2} + 4 x - 12

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Division of a Polynomial by a Monomial

Standard VI Mathematics

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