Question

If x + 1 is a factor of the polynomial 3x^2 – 4k, then find the value of k

Answer 1

Answer

• The value of k = $\cfrac{3}{4}$

Given

• x + 1 is a factor of the quadratic polynomial 3x² - 4k.

To Do

• To find the value of k.

Step By Step Explanation

If x + 1 is a factor of the quadratic polynomial 3x² - 4k. Then it will give remainder 0.

x + 1 = 0 => x = -1

Substituting the value :

Let's substitute the value of x in the given question polynomial to find the value of k.

$:\implies \sf3 {x}^{2} - 4k = 0 \\ \\:\implies \sf 3{ (- 1)}^{2} - 4k = 0 \\ \\ :\implies \sf3(1) - 4k = 0 \\ \\ :\implies \sf3 - 4k = 0 \\ \\ :\implies \sf - 4k = - 3 \\ \\:\implies \sf 4k = 3 \\ \\ \purple{:\implies \tt{k = \cfrac{3}{4}}}$

Therefore, the value of k = $\cfrac{3}{4}$

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More to Know

• Polynomial :- An algebraic expressions in which the variable involved having non negative integral power is known as polynomial.

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