Find the nature of the roots of x² - 14x + 49 = 0

Simplify:

6(x ^ 3 - 2x ^ 2 + 3x) - (x ^ 3 + 2x - 3)

What is the nature of the roots of the quadratic equation

x^2 - 5x + 7 = 0

?

Find the roots of the equation

6p^2 -5p-6 = 0.

If a + b = 56 and (a - b)² = 496, find the value of product of a and b.

If 3x - 2y = 10 and xy = 11, the value of 27x³ - 8y³ is_____

If x²+2x+9 = (x-2)(x-3), then the resultant equation is:

One of the roots of the equation

x ^ 2 - 12x + k = 0

is x = 3 The other root is

If a and b are the roots of $x^2 + x - 2 = 0$ , then the quadratic equation in x whose roots are $\frac1a + \frac1b$ and ab is:

The expansion of (3a-4b-2c)2² is:

The product of the roots of 3x² - 13x + 6 = 0 is:

What is the nature of the roots of 3x² + 6x-5=0?

The roots of the equation $ax^2+ bx + c = 0$ are equal if:

What is the reminder when the polynomial $4x^3+2x^2+x+1/2$ is divided by $2x-1$ ?

The equation $(x-2)^2+1=2x-3$ is:

If $x^5+2x^4+x+6$ is divided by g(x), and quotient is $x^2+5x+7$ , then the positive degree of g(x) is :

The zeros of the quadratic polynomial $x^2+kx+k$ :k=0

If the zeros of the quadratic polynomial $ax^2+bx+c$ ,c≠ 0 are equal , then :

Zeros of $p(x) = x^2-27$ are:

Find a quadratic polynomial, the sum and product of whose zeros are -3 and 2 respectively?

Find the value of k if x - 1 is a factor of $4x^3+3x^2+4x+k$

Find the value of k if x - 1 is a factor of $2x^3+x^2-4x+k$

Which theorem states that:"Given polynomial p(x), if p(a)=0 for some number a, then (x - a) is a linear factor of p(x). Likewise if (x-a) is a linear factor of p(x) then p(a) = 0."

Find the value of k if x - 2 is a factor of

4x^3+3x^2-4x+k

Find the value of k if x - 1 is a factor of $4x^3+3x^2-4x+k$

The expression $4x^2-px+7$ leaves the reminder -2 when divided by x - 3. Find the value of p

Find the reminder when $x^3-bx^2+6x-b$ is divided by $x-b$

Find the reminder when $4x^2+3x+1$ is divided by $2x +5$

Find the reminder when $4x^2+3x+1$ is divided by $x +1$

Find the reminder when $x^4+x^3-2x^2+x+1$ is divided by $x-1$

If p(x) is a third degree polynomial and s(x) is a fifth degree polynomial then find the degree of p(x) - s(x)

If p(x) is a third degree polynomial and s(x) is a fifth degree polynomial then find the degree of p(x) + s(x)

If p(x) is a third degree polynomial and s(x) is a fifth degree polynomial then find the degree of p(x)s(x)

Find the degree of the polynomial p(x)q(x); $p(x)=2x^2+4x+2$ , $q(x)=4x+6$

What is the degree of p(x)+q(x):

$p(x)=4x^4+3x^2+6x+9$ , $q(x)=5x^4+6x^3+8$

Find the reminder when $p(x)=4x^4+6x^3+6x+6$ is divided by $x+2$

$p(x) =2x^2+3x+7$ , $q(x)=6x^2+8x-9$ Find $p(x)\times{q(x)}$

Find the reminder when $p(x)=2x^4+4x^2-1$ is divided by $x+1$

$p(x) =2x^2+3x+7$ , $q(x)=6x^2+8x-9$ Find q(x)-p(x)

$p(x) =2x^2+3x+7$ , $q(x)=6x^2+8x-9$ Find p(x)+q(x)

In polynomial P(x) = ax³ + bx² + cx + d, P(1) =P(-1), find a + c

Find the value of k, If P(x) = 2x³ - 7x² + kx + 20, P(2) =P(3)

In a polynomial P(x) = 2x³ + 9x² + kx + 3, P(-2) = P(-3) . Find the value of k

Find the second degree polynomial with P(0)=0, P(1)=1 and P(2)=6

Find the degree of the polynomial with P(1) = -1 and P(-2) = 3.

Find the polynomial satisfying the given set of conditions: The first degree polynomial with P(1)=1 and P(3)=2

Find the zero of the polynomial : $p(x)=2x^2+13x-7$

Find the zero of the polynomial :

3x + 2=0

Find the zero of the polynomial : $6x+ 6=0$

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