Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 10MathematicsPolynomialsGeometrical meaning of the zeroes of a polynomial.HardLevel 24
0 reads0 ratings0 helpful

If (p(x)=x^2+dx+d^2) and (d\neq0), why will the graph not cut the (x)-axis?

Advertisement

Answer and explanation

Correct answer: Because its discriminant is negative

The discriminant is (d^2-4d^2=-3d^2<0), so there are no real zeroes. Tip: a negative discriminant means no (x)-axis intersection.

Related tags

DiscriminantNo Real ZeroGraph

Frequently asked questions

What is the correct answer to this question?

Because its discriminant is negative

Why is this the correct answer?

The discriminant is (d^2-4d^2=-3d^2<0), so there are no real zeroes. Tip: a negative discriminant means no (x)-axis intersection.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Geometrical meaning of the zeroes of a polynomial..

Was this question useful?

No ratings yetWrite a review / Rate this question

Student Reviews

No published reviews yet.

KEEP PRACTISING

10 more MCQs
  1. 1What does a zero of a polynomial (p(x)) represent geometrically?
  2. 2If the graph of a polynomial cuts the x-axis at x = 3, what is its zero?
  3. 3If a graph cuts the (x)-axis at ((-2,0)) and ((4,0)), what are the zeroes of the polynomial?
  4. 4If the graph of a linear polynomial cuts the (x)-axis only once, how many zeroes will it have?
  5. 5From which point can the zero of a polynomial be directly found?
  6. 6If the graph of a polynomial neither cuts nor touches the (x)-axis, how many real zeroes does it have?
  7. 7If a parabola cuts the (x)-axis at two distinct points, how many zeroes does the quadratic polynomial have?
  8. 8If a parabola only touches the (x)-axis and does not cut it, how many real zeroes does the quadratic polynomial have?
  9. 9If a parabola lies completely above the (x)-axis, how many real zeroes does the quadratic polynomial have?
  10. 10Which points on the graph indicate the zeros (roots) of a polynomial \\(p(x)\\)?
Advertisement

Add Muft Shiksha to your Home Screen

In Safari, tap Share, then Add to Home Screen.