Kerala Syllabus SAMAGRA SCERT SAMAGRA Question Pool for Class 10 English Medium Maths Polynomials
The area of a rectangle is represented by the polynomial P(x) =,
a) If the length is (x - 1), find the breadth as a first degree polynomial
b) If the length is 5 what is its breadth?
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P(x) is a second degree polynomial.
P(2)=0, and P(-1)=0 then,
a) Which of the following is a factor of P(x)?
i) (x + 2) ii) (x + 1) iii) (x + 3) iv) (x – 1)
b) Find the solutions of the equation p(x) = 0
a) (x + 1)
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If P(x)= , then
a) Find P(0)
b) Check whether (x – 1) is a factor of this polynomial
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If P(x) = (x – 1) ( – x – 6)
i) Find P(1)
ii) Write P(x) as the product of three first degree polynomials.
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In the given polynomial
a) Find P(1)
b) Write one factor of the polynomial
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(x-3)(x-2) = , then find the solution of the equation
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The polynomial P(a) = a2+50a represents the surface area of a square pyramid with base edge 'a', then
a) What is the slant height of this pyramid ?
b) Find the total surface area of the pyramid with base edge 10 units.
a) 2al = 50
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Consider the polynomial P(x) = x2-kx-7,
a) if P(1) = 3 , Find the value of k.
b) Write a second degree polynomial with factor (x - 1)
a) 12-k1-7 =
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P(x) is a second degree polynomial. One factor of P(x) is (x – 1)
and if P(7)=0 then
a) Write P(x) as the product of two first degree polynomials.
b) Find the values of x for which P(x) = 0
P(x) =
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If x-1, x+1 are the factors of ax3+bx2+cx+d then
i) Prove that a=-c, b=-d
ii) If x-1 and x+1 are factors of ax3+bx2-5x+3, what is a and b?
x – 1 is a factor.
P(1) =
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In the polynomial P(x) = 2x3-x2-8x+4
a) Find P(0).
b) Find p (1/2)
c) Write one factor of P(x).
a) P(0) = 203-02-80+4=
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a) Manu is asked to write the polynomial x2+7x+6 as the product of first degree polynomials. He wrote as follows and stopped
x2+7x+6 = (x-a)(x-b)
x2+7x+6 = x2 - (a+b)x + ab
Help Manu to solve the problem.
b) Find the solutions of the equation
x2+7x+6=0
x2+7x+6 = (x-a)(x-b)
x2+7x+6 =x2- (a+b)x + ab
For identifying a+b = -7, and
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p(x) = ax2 + bx + 5
a) Find p(1)
b) (x-1) is a factor of p(x). Prove that a+b-5 = 0
c) If (x+1) is a factor of p(x),then find the relation between a and b?
d) If(x2 -1) is a factor of p(x), then find the value of a and b?
p(x) = ax2 + bx + 5
a. p(1) = a + b + 5
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p(x) = (x +2) (x – 3) + k, (x-2) is a factor of p(x)
a.Find k
b. p(x) Examine whether (x + 1) is a factor of p(x)
c. Which number should be added to p(x) to make (x +3) a factor of it?
p(2) = (2 + 2) (2 – 3) + k = 0
k = 4
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a)p(x) =3x2 + 16x +5 . Write p(x) as a product of two first degree polynomials.
b) Can we write 2x2 + 5x + 6 as the product of two first degree polynomials?
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p(x) = 2x2 – x – 6 ; 2 is a solution of p(x) =0
a) Write a factor of p(x)
b) Write p(x) a product of two first degree polynomials.
a) (x –
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x – 1, x – 2, x – 3 are factors of p(x)
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p(x) = x3 – 2x2 – 5x + k. (x + 2) is a factor of p(x). Find the value of k?
P(-2) = 0
(-2)3 – 2(-2)2 – 5(-2) + k =
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p(x) =x2 – x – 15 . Which number is added to p(x) to make (x – 5) a factor of it.
Ans p(x) = x2 – x – 15
If(x – 5) is a factor of p(x) then p(5) = 0
p(5) = 52 – 5 – 15 =
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Write p(x) = x2 – 4x – 21 as the product of two first degree polynomials.
p(x) = x2 – 4x – 21
a + b =4
ab = -21
a = 7, b =
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