Which is one variable and not (i) 3x^2−4x+152 (ii) y^2+2√3 (iii)3√x+√2x (iv)x−4/x (v)x^12+y^2+t^50

"EQUAL TO" Sign

Write the coefficients of x^2 (i) 17-2x+7x^2 (ii) 9-12x+x^2 (iii) (π/6)x^2-3x+4 (iv) √3x-7

Write the degrees of each (i) 7x^3+4x^2−3x+12 (ii) 12 − x + 2x^2 (iii) 5y - √2 (iv) 7-7x° (v) 0

Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:

Classify the following polynomials as polynomials in one variables, two - variables etc: x^2−xy+7y^2

Identify the polynomials: (i) f(x)=4x^3−x^2−3x+7 (ii) g(x)=2x^3-3x^2+√x-1 (iii) p(x)=(2/3)x^2-(7/4)

Identify constant, linear, quadratic abd cubic polynomial from the following polynomials : (i) f(x)=

Give one example each of a binomial of degree 25, and of a monomial of degree 100

If f(x) = 2x^3 − 13x^2 + 17x + 12, Find (i) f(2) (ii) f(-3) (iii) f(0)

f(x) = 3x + 1, x = −1/3

f(x) = x^2 − 1, x = (1,−1)

f(x) = 3x^2 - 2, x = 2√3, - 2√3

p(x) = x^3 − 6x^2 + 11x − 6, x = 1, 2, 3

f(x) = 5x - π, x = 4/5

f(x) = x^2, x = 0

f(x) = lx + m, x = - m/l

f(x) = 2x + 1, x = 1/2

If x = 2 is a root of the polynomial f(x) = 2x^2 − 3x + 7a, Find the value of a

If x = −1/2 is zero of the polynomial p(x) = 8x^3 − ax^2 − x + 2, Find the value of a

If x = 0 and x = -1 are the roots of the polynomial f(x) = 2x^3 − 3x^2 + ax + b, Find the of a and b

Find the integral roots of the polynomial f(x) = x^3 + 6x^2 + 11x + 6

Find the rational roots of the polynomial f(x) = 2x^3 + x^2 − 7x − 6

Using the remainder theorem, find f(x) is divided by g(x). f(x) = x^3+4x^2−3x+10, g(x) = x+4

Using the remainder theorem, f(x) is divided by g(x). f(x) = 4x^4 - 3x^3 - 2x^2 + x - 7, g(x) = x -1

Using the remainder theorem, f(x) is divided by g(x). f(x) = 2x^4 - 6x^3 + 2x^2 - x + 2, g(x) = x+2

Using the remainder theorem, f(x) is divided by g(x). f(x) = 4x^3 - 12x^2 + 14x - 3, g(x) = 2x - 1

Using the remainder theorem, f(x) is divided by g(x). f(x) = x^3 − 6x^2 + 2x − 4, g(x) = 1 - 2x

Using the remainder theorem, f(x) is divided by g(x). f(x) = x^4 − 3x^2 + 4, g(x) = x - 2

Using the remainder theorem, f(x) is divided by g(x). f(x) = 9x^3 − 3x^2 + x − 5, g(x) = x − 2/3

Using the remainder theorem, f(x) is divided by g(x). f(x) = 3x4 + 2x^3−x^3/3−x/9+2/27, g(x) = x+2/3

If the polynomial 2x^3+ax^2+3x−5 and x^3+x^2−4x+a leave the same remainder when divided by x-2, Find

If polynomials ax^3+3x^2−3 and 2x^3−5x + a when divided by (x -4) leaves R1 and R2. Find values of a

If the polynomials ax^3+3x^2−13 and 2x^3−5x+a when divided by (x-2) leaves same remainder, Find a

Find the remainder when x^3+3x^3+3x+1 is divided by, (i) x+1 (ii) x-1/2 (iii) x

Find the remainder when x^3+3x^3+3x+1 is divided by, (iv) x+π (v) 5+2x

find whether polynomial g(x) is a factor of polynomial f(x), or not f(x) = x^3−6x^2+11x−6, g(x) =x−3

find whether polynomial g(x) is a factor of polynomial f(x), f(x)=3x4+17x3+9x2−7x−10, g(x)=x+5

find whether polynomial g(x) is a factor of polynomial f(x), f(x)=x^5+3x^4−x^3−3x^2+5x+15, g(x)=x+3

find whether polynomial g(x) is a factor of polynomial f(x), f(x) = x^3−6x^2−19x+84, g(x) = x−7

find whether polynomial g(x) is a factor of polynomial f(x), f(x) = 3x^3 +x^2 − 20x +12, g(x) = 3x−2

find whether polynomial g(x) is a factor of polynomial f(x), f(x) = 2x3 − 9x2 + x + 13, g(x) = 3 −2x

find whether polynomial g(x) is a factor of polynomial f(x), f(x) = x3 − 6x2 + 11x−6, g(x) = x2−3x+2

Show that (x – 2), (x + 3) and (x – 4) are the factors of x^3 − 3x^2 − 10x + 24

Show that (x + 4), (x - 3) and (x - 7) are the factors of x^3 − 6x^2 - 19x + 84

For what value of a is (x – 5) a factor of x^3 − 3x^2 + ax − 10

Find the value of a such that (x - 4) is a factor of 5x^3 − 7x^2 - ax - 28

Find the value of a, if (x + 2) is a factor of 4x^4 + 2x^3 − 3x^2 + 8x + 5a

Find the value of k if x - 3 is a factor of k^2x^3 − kx^2 + 3kx − k

Find the values of a and b, if x^2 - 4 is a factor of ax^4 + 2x^3 − 3x^2 + bx − 4

Find α, β if (x + 1) and (x + 2) are the factors of x^3 + 3x^2 − 2αx + β

Find the values of p and q so that x^4 + px^3 + 2x^2 − 3x + q is divisible by (x^2 - 1)

Find the values of a and b so that (x + 1) and (x - 1) are the factors of x^4 + ax^3 − 3x^2 + 2x + b

If x^3 + ax^2 − bx + 10 is divisible by x^3 − 3x + 2, find the values of a and b

If both (x + 1) and (x - 1) are the factors of ax^3 + x^2 − 2x + b, Find the values of a and b

What must be added to x^3 − 3x^2 − 12x + 19 so that the result is exactly divisible by x^2 + x − 6

What must be added to x^3 − 6x^2 − 15x + 80 so that the result is exactly divisible by x^2 + x - 12

What must be added to 3x^3 + x^2 − 22x + 9 so that the result is exactly divisible by 3x^2 + 7x − 6

If x - 2 is a factor of the polynomials, find the value of a in x^3 − 2ax^2 + ax − 1

If x - 2 is a factor of the polynomials, find the value of a in x^5 − 3x^4 − ax^3 + 3ax^2 + 2ax + 4

In the polynomial, find the value of a, if (x - a) is a factor of x6 − ax^5 + x^4 − ax^3 + 3x − a+2

In the polynomials, find the value of a, if (x - a) is a factor of x^5 − a^2x^3 + 2x + a + 1

In the polynomials, find the value of a, if (x + a) is a factor of x^3 + ax^2 − 2x + a + 4

In the polynomials, find the value of a, if (x + a) is a factor of x^4 − a^2x^2 + 3x − a

Using factor theorem, factorize of the polynomials: x^3 + 6x^2 + 11x + 6

Using factor theorem, factorize of the polynomials: x^3 + 2x^2 – x – 2

Using factor theorem, factorize of the polynomials: x^3 – 6x^2 + 3x + 10

Using factor theorem, factorize of the polynomials: x^4 –7x^3 + 9x^2 + 7x –10

Using factor theorem, factorize of the polynomials: x^4 – 2x^3 – 7x^2 + 8x + 12

Using factor theorem, factorize of the polynomials: x^4 + 10x^3 + 35x^2 + 50x + 24

Using factor theorem, factorize of the polynomials: 2x^4 - 7x^3 - 13x^2 + 63x – 45

Using factor theorem, factorize of the polynomials: 3x^3 - x^2 – 3x + 1

Using factor theorem, factorize of the polynomials: y^3 - 7y + 6

Using factor theorem, factorize of the polynomials: x^3- 23x^2 + 142x - 120

Using factor theorem, factorize of the polynomials: x^3 – 10x^2 – 53x – 42

Using factor theorem, factorize of the polynomials: y^3 – 2y^2 – 29y – 42

Using factor theorem, factorize of the polynomials: 2y^3 – 5y^2 – 19y + 42

Using factor theorem, factorize of the polynomials: x^3 + 13x^2 + 32x + 20

Using factor theorem, factorize of the polynomials: x^3 – 3x^2 – 9x – 5

Using factor theorem, factorize of the polynomials: 2y^3 + y^2 – 2y – 1

Using factor theorem, factorize of the polynomials: x^3 – 2x^2 – x + 2

Factorize each of the following polynomials: x^3 + 13x^2 + 31x – 45 given that x + 9 is a factor

Factorize each of the following polynomials: 4x^3 + 20x^2 + 33x + 18 given that 2x + 3 is a factor.