Download App

Polynomials — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSPolynomials1 Mark
Question
If $x + 3$ is a factor of $x^2 - ax - 15,$ then $a =$
✓

Answer

Put $x - 3 = 0,$ then $x = 3$
Therefore, value of $x^2 - ax - 15$ at $x = 3$ is zero
$\Rightarrow 3^2 - 3a - 15 = 0$
$\Rightarrow -6 - 3a = 0$
$\Rightarrow a = -2$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q" from Polynomials→Polynomials — all question types→MATHS STD 9 question papers→Rajasthan Board STD 9 question papers→Rajasthan Board question paper generator→

Similar questions

Write the correct answer in the following:
Point (0, -7) lies:
→
When the data consists of 3, 4, 5, 4, 3, 4, 5, which statement is true?
→
P is the mid-point of side BC of a parallelogram ABCD such that $\angle\text{BAP}=\angle\text{DAP}.$ If AD = 10cm, then CD =
→
How many digits are there in the repeating block of digits in the decimal expansion of $\frac{17}{7}?$
  1. 16
  2. 6
  3. 26
  4. 7
→
Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion: The perimeter of a right angled triangle is $60\ cm$ and its hypotenuse is $26\ cm$. The other sides of the triangle are $10\ cm$ and $24\ cm$. Also, area of the triangle is $120\ cm^2.$
Reason: $(Base)^2 + \ ($Perpendicular$)^2\  = \ $(Hypotenuse$)^2.$
→
On simplification, the expression $\frac{5^{\text{n}+2}-6\times5^{\text{n}+1}}{13\times5^{\text{n}}-2\times5^{\text{n}+1}}$ equals:
  1. $\frac{5}{3}$
  2. $-\frac{5}{3}$
  3. $\frac{3}{5}$
  4. $-\frac{3}{5}$
→
The length of the sides of a triangle are 5cm, 7cm and 8cm. Area of the triangle is:
→
The height of a solid cone is 12cm and the area of the circular base is $64\pi\text{cm}^2.$ A plane parallel to the base of the cone cuts through the cone 9cm above the vertex of the cone, the areas of the base of the new cone so formed is:
→
Short Answer Questions.
All the angles of a quadrilateral can be obtuse. Is this statement true? Give reasons for your answer.
→
Points (-4, 0) and (7, 0) lie.
→