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Using factor theorem, show that g(x) is a factor of p(x), when
$p\left(x\right)=2x^4+9x^3+6x^2-11x-6,g\left(x\right)=x-1$

Question 85

In the following question, state whether the given statement is true (T) or false (F).
All numbers which are divisible by 4, may not be divisible by 8.

Which of the following figures,you find polygons on the same base and between the same parallels?

What is an axiom?

Factorise
$8a^3+27b^3+36a^2+54a{b}^2$

Question 15
In the figure, there is a histogram depicting daily wages of workers in a factory. Construct the frequency table.

In a $\Delta PQR,ifPQ=QRandL,M$ and N are the mid-points of the sides PQ, QR and RP respectively. Prove that LN = MN.

If the volume of a cuboid is $3x^2-27$, then its possible dimensions are

In the figure given below ABCD is a parallelogram, where, AF and BE are angle bisectors of $\angle A$ and $\angle B$ respectively. Find the measure of $x^{\circ }$.

If x = 7+4√3 then √x+1/√x is

If there are two triangles, $△ABC$ and $△PQR,$ such that, $AB=QR,BC=PR$ and $CA=PQ,$ then

state the euclid's axiom showing that a right angle is greater than a acute angle

If N = [{√(√5+2) + √(√5-2)}/√(√5+1)] - √(√5+1), then find the value of N. (last answer that you gave was wrong).

In France, Taille was a name given to which of the following?

Which of the following should be the LAST sentence after rearrangement?

In a college, the GPA of a student in different semesters is as follows:

7.5, 8.5, fail, 5.6, 6.6, fail, 9.0, fail. Find the frequency of him failing.

Axiom or pastulates are

Insert one rational number between 2 and 3.

What is the coefficient of $x^3$ in (2x-4)$(x+6{)}^2$ ?

ABCD is a parallelogram, if the two diagonals are equal, then by what criterion are the triangles ABD and ABC congruent

If $sinA:cosA=4:7$, then what is the value of $\frac{7sinA-3cosA}{7sinA+2cosA}$?

Which economist said that inflation is too much money chasing too few goods?

In the figure, AC = 10cm, PC = 15cm, PQ = 12cm, find PB.

In the given figure, P and Q are the mid-points of AC and AB. Also, PG =GR and HQ=HR. What is the ratio of area of $\Delta PQR$ to area of $\Delta ABC?$

The distance of a point (-5, 6) from the y- axis is

Factorise x² + y -xy -x

Three sides of a triangle are a,b and c. Find the percentage increase in area of triangle if each side of triangle is doubled.

In the given figure, if AB || CD || EF, PQ || RS, $\angle RQD={25}^{\circ }$ and $\angle CQP={60}^{\circ }$, then $\angle QRS$ is equal to

What is the x coordinate of point C?

Consider the following two statements

Statements - 1: The area of a right angled triangle
$=\frac{\text{Product of the two sides containing right angle}}{2}$

Statement - 2: If the perimeter of a triangle is s and the sides of the triangle are a, b and c respectively then the area of the triangle
$=\sqrt{s(s-a)(s-b)(s-c)}$

Which of the following is true?

In a frequency distribution table, the class interval 150-160 is attached with the frequency 15. So the point on the frequency polygon corresponding to this is

Which of the following is false about knowledge, as evident from the author's views in the passage?

What term should be added to $a^2-2ab$ to make it a perfect square?

$\sqrt{lo{g}_{2}x}-0.5=lo{g}_2\sqrt{x}$, then x equals

The number of boys in a class is 30 and the number of girls is x. The mean of the number of boys and girls is 35.
If the number of girls is increased by 10 , what will be the new Mean?

ram is half of his fathers age.twenty years ago the age of father was six times age of ram.find age of ram and his father

External dimensions of a wooden cuboid are $30cm\times 25cm\times 20cm$. If the thickness of the wood is $2cm$ all around, then find the volume of the wood used to create the hollow cuboid.

Find two irrational numbers between 0.61611611116......., and 0.6835452935

The side $AB$ of a parallelogram $ABCD$ is produced to any point $P$. A line through $A$ and parallel to $CP$ meets $CB$ produced at $Q$ and then parallelogram $PBQR$ is completed (see Fig. 9.26). Show that ar $\left(ABCD\right)$ $=$ ar $\left(PBQR\right)$.