RD Sharma Class 9 Solutions Chapter 6 VSAQs: Clear your Class 9 Maths exams with flying colors by studying the RD Sharma Solutions Class 9 Maths. It is important to clear your concepts before appearing for the exams. Hence you can give a try studying RD Sharma Class 9 Solutions Chapter 6 VSAQs. To now more, read the whole blog.
Access answers of RD Sharma Class 9 Solutions Chapter 6 VSAQS
Question 1.
Define zero or root of a polynomial.
Solution:
A real number a is a zero or root of a polynomial f(x) if f(α) = 0
Question 2.
If x = 12 is a zero of the polynomial f(x) = 8x3 + ax2 – 4x + 2, find the value of a.
Solution:
Question 3.
Write the remainder when the polynomial f(x) = x3+x2-3x + 2is divided by x + 1.
Solution:
f(x) = x3+x2-3x + 2
Let x + 1 = 0, then x = -1
∴ Remainder =(-1)
Now,f(-1) = (-1)3 + (-1)2 – 3(-1) + 2
= -1 + 1+ 3 + 2 = 5
∴ Remainder = 5
Question 4.
Find the remainder when x3 + 4x2 + 4x – 3 is divided by x.
Solution:
f(x) = x3 + 4x2 + 4x – 3
Dividing f(x) by x, we get
Let x = 0, then
f(x) = 0 + 0 + 0 – 3 = -3
∴ Remainder = -3
Question 5.
If x + 1 is a factor of x3 + a, then write the value of a.
Solution:
Let f(x) = x3 + a
∴ x + 1 is a factor of fx)
Let x + 1 = 0
⇒ x = -1
∴ f(-1) = x3 + a
= (-1)3 + a = -1 + a
∴ x + 1 is a factor
∴ Remainder = 0
∴ -1 + a = 0 ⇒ a = 1
Hence a = 1
Question 6.
If f(x) = x4-2x3 + 3x2 – ax – b when divided by x – 1, the remainder is 6, then find the value of a + b.
Solution:
f(x) = x4 – 2x3 + 3x2 – ax – b
Dividing f(x) by x – 1, the remainder = 6
Now let x – 1 = 0, then x = 1
∴ f(1) = (1)4 – 2(1)3 + 3(1)2 -ax 1-b
= 1 -2 + 3-a-b = 2-a-b
∴ Remainder = 6
∴ 2 – a – b = 6 ⇒ a + b = 2 – 6 = -4
Hence a + b = -4
This is the complete blog on RD Sharma Class 9 Solutions Chapter 6 VSAQS. To know more about the CBSE Class 9 Maths exam, ask in the comments.
FAQs on RD Sharma Class 9 Solutions Chapter 6 VSAQS
How many questions are there in RD Sharma Class 9 Solutions Chapter 6 VSAQs?
There are 6 questions in RD Sharma Class 9 Solutions Chapter 6 VSAQs.
Is it even beneficial to study RD Sharma Class 9 Solutions Chapter 6 VSAQs?
Yes, your preparation will be strengthened with this amazing help book. All your questions will be answered by this book.
Are the solutions RD Sharma Class 9 Solutions Chapter 6 VSAQs relevant?
The solutions are relevant as they are designed by the subject matter experts.