For what value of x- the given algebraic expression 8 x3-7 x2-12 x-13 becomes 0

The correct option is A 1 Trying all the given options, (A) At x = 1, we have 8 x ( 1)3 – 7 x ( 1)2 + 12 x ( 1) 13 = 8 7 12 13 = 40 (B) At x = 1, we ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Addition of Negative Numbers

For what valu...

Question

For what value of x, the given algebraic expression 8x³ - 7x²+ 12x - 13 becomes 0

-1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

-2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
1

Trying all the given options,

(A) At x = -1, we have 8 x (-1)³ – 7 x (-1)² + 12 x (-1) - 13 = -8 - 7 - 12 - 13 = -40

(B) At x = 1, we have 8 x (1)³ – 7 x (1)²+ 12 x (1) - 13 = 8 - 7 + 12 - 13 = 0

(C) At x = 2, we have 8 x (2)³ – 7 x (2)²+ 12 x (2) - 13 = 64 - 28 + 24 - 13 = 47

(D) At x = -2, we have 8 x (-2)³ – 7 x (-2)²+ 12 x (-2) - 13 = -64 - 28 - 24 - 13 = -129

Thus, at x = 1 the expression becomes 0, hence option (B).

Suggest Corrections

Similar questions

Q. The degree of the algebraic expression,

7 x^{2} - 24 x y^{2} + 9 x - 2 y^{2}

is .

Check the values of x from the given options for which the value of polynomial $x^{3} - 7 x^{2} + 14 x - 8$ becomes zero.

Q. If x = 4+2i then prove that the value of the expression

x^{3} - 7 x^{2} + 12 x + 25

is divisible by 1 and 5 , where (i=

\sqrt{- 1}

)

Q. Determine whether the given values of variable is a solution of the quadratic equation or not.

7 x^{2} - 12 x = 0; x = \frac{1}{3}

Q. Solve for

x

\sqrt{7 x^{2}} - 6 x - 13 \sqrt{7} = 0

Join BYJU'S Learning Program

For what value of x, the given algebraic expression 8x3 - 7x2 + 12x - 13 becomes 0

For what value of x, the given algebraic expression 8x³ - 7x²+ 12x - 13 becomes 0